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Finding the Fourth Proportional to 507.71, 757.10 and 503.09

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Solution

The fourth proportional to 507.71, 757.10 and 503.09 is: 750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.71 : 757.10 = 503.09 : x
  2. Step 2: Convert to fraction form
    507.71/757.10 = 503.09/x
  3. Step 3: Cross multiply
    507.71x = 757.10 × 503.09
  4. Step 4: Simplify right side
    507.71x = 380,885.65
  5. Step 5: Solve for x
    x = 380,885.65/507.71
  6. Step 6: Final answer
    x = 750.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.