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Finding the Fourth Proportional to 507.50, 760.88 and 410.12

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Solution

The fourth proportional to 507.50, 760.88 and 410.12 is: 614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.50 : 760.88 = 410.12 : x
  2. Step 2: Convert to fraction form
    507.50/760.88 = 410.12/x
  3. Step 3: Cross multiply
    507.50x = 760.88 × 410.12
  4. Step 4: Simplify right side
    507.50x = 312,052.11
  5. Step 5: Solve for x
    x = 312,052.11/507.50
  6. Step 6: Final answer
    x = 614.88

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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.