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Finding the Fourth Proportional to 822.76, 1,135.61 and 528.54

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Solution

The fourth proportional to 822.76, 1,135.61 and 528.54 is: 729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.76 : 1,135.61 = 528.54 : x
  2. Step 2: Convert to fraction form
    822.76/1,135.61 = 528.54/x
  3. Step 3: Cross multiply
    822.76x = 1,135.61 × 528.54
  4. Step 4: Simplify right side
    822.76x = 600,206.99
  5. Step 5: Solve for x
    x = 600,206.99/822.76
  6. Step 6: Final answer
    x = 729.51

Related Problems

Find fourth proportional to 411.38, 567.80 and 264.27
Half scale
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Double scale
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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.