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Finding the Fourth Proportional to 487.98, 735.66 and 461.52

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Solution

The fourth proportional to 487.98, 735.66 and 461.52 is: 695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.98 : 735.66 = 461.52 : x
  2. Step 2: Convert to fraction form
    487.98/735.66 = 461.52/x
  3. Step 3: Cross multiply
    487.98x = 735.66 × 461.52
  4. Step 4: Simplify right side
    487.98x = 339,521.80
  5. Step 5: Solve for x
    x = 339,521.80/487.98
  6. Step 6: Final answer
    x = 695.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.