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Finding the Fourth Proportional to 521.76, 717.03 and 507.18

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Solution

The fourth proportional to 521.76, 717.03 and 507.18 is: 696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.76 : 717.03 = 507.18 : x
  2. Step 2: Convert to fraction form
    521.76/717.03 = 507.18/x
  3. Step 3: Cross multiply
    521.76x = 717.03 × 507.18
  4. Step 4: Simplify right side
    521.76x = 363,663.28
  5. Step 5: Solve for x
    x = 363,663.28/521.76
  6. Step 6: Final answer
    x = 696.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.