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Finding the Fourth Proportional to 822.76, 1,135.78 and 512.68

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Solution

The fourth proportional to 822.76, 1,135.78 and 512.68 is: 707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.76 : 1,135.78 = 512.68 : x
  2. Step 2: Convert to fraction form
    822.76/1,135.78 = 512.68/x
  3. Step 3: Cross multiply
    822.76x = 1,135.78 × 512.68
  4. Step 4: Simplify right side
    822.76x = 582,291.69
  5. Step 5: Solve for x
    x = 582,291.69/822.76
  6. Step 6: Final answer
    x = 707.73

Related Problems

Find fourth proportional to 411.38, 567.89 and 256.34
Half scale
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Double scale
Find fourth proportional to 823.76, 1,137.16 and 513.68
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.