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Finding the Fourth Proportional to 512.76, 707.63 and 291.68

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Solution

The fourth proportional to 512.76, 707.63 and 291.68 is: 402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.76 : 707.63 = 291.68 : x
  2. Step 2: Convert to fraction form
    512.76/707.63 = 291.68/x
  3. Step 3: Cross multiply
    512.76x = 707.63 × 291.68
  4. Step 4: Simplify right side
    512.76x = 206,396.52
  5. Step 5: Solve for x
    x = 206,396.52/512.76
  6. Step 6: Final answer
    x = 402.52

Related Problems

Find fourth proportional to 256.38, 353.81 and 145.84
Half scale
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Double scale
Find fourth proportional to 513.76, 709.01 and 292.68
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.