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Finding the Fourth Proportional to 470.40, 702.25 and 397.48

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Solution

The fourth proportional to 470.40, 702.25 and 397.48 is: 593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.40 : 702.25 = 397.48 : x
  2. Step 2: Convert to fraction form
    470.40/702.25 = 397.48/x
  3. Step 3: Cross multiply
    470.40x = 702.25 × 397.48
  4. Step 4: Simplify right side
    470.40x = 279,130.33
  5. Step 5: Solve for x
    x = 279,130.33/470.40
  6. Step 6: Final answer
    x = 593.39

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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.