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Finding the Fourth Proportional to 712.64, 1,069.57 and 507.71

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Solution

The fourth proportional to 712.64, 1,069.57 and 507.71 is: 762.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.64 : 1,069.57 = 507.71 : x
  2. Step 2: Convert to fraction form
    712.64/1,069.57 = 507.71/x
  3. Step 3: Cross multiply
    712.64x = 1,069.57 × 507.71
  4. Step 4: Simplify right side
    712.64x = 543,031.38
  5. Step 5: Solve for x
    x = 543,031.38/712.64
  6. Step 6: Final answer
    x = 762.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.