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Finding the Fourth Proportional to 507.54, 756.31 and 491.02

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Solution

The fourth proportional to 507.54, 756.31 and 491.02 is: 731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.54 : 756.31 = 491.02 : x
  2. Step 2: Convert to fraction form
    507.54/756.31 = 491.02/x
  3. Step 3: Cross multiply
    507.54x = 756.31 × 491.02
  4. Step 4: Simplify right side
    507.54x = 371,363.34
  5. Step 5: Solve for x
    x = 371,363.34/507.54
  6. Step 6: Final answer
    x = 731.69

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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.