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Finding the Fourth Proportional to 487.44, 728.30 and 470.43

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Solution

The fourth proportional to 487.44, 728.30 and 470.43 is: 702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.44 : 728.30 = 470.43 : x
  2. Step 2: Convert to fraction form
    487.44/728.30 = 470.43/x
  3. Step 3: Cross multiply
    487.44x = 728.30 × 470.43
  4. Step 4: Simplify right side
    487.44x = 342,615.35
  5. Step 5: Solve for x
    x = 342,615.35/487.44
  6. Step 6: Final answer
    x = 702.89

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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.