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Finding the Fourth Proportional to 504.57, 753.02 and 491.61

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Solution

The fourth proportional to 504.57, 753.02 and 491.61 is: 733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.57 : 753.02 = 491.61 : x
  2. Step 2: Convert to fraction form
    504.57/753.02 = 491.61/x
  3. Step 3: Cross multiply
    504.57x = 753.02 × 491.61
  4. Step 4: Simplify right side
    504.57x = 370,192.16
  5. Step 5: Solve for x
    x = 370,192.16/504.57
  6. Step 6: Final answer
    x = 733.68

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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.