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Finding the Fourth Proportional to 528.70, 730.61 and 397.48

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Solution

The fourth proportional to 528.70, 730.61 and 397.48 is: 549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.70 : 730.61 = 397.48 : x
  2. Step 2: Convert to fraction form
    528.70/730.61 = 397.48/x
  3. Step 3: Cross multiply
    528.70x = 730.61 × 397.48
  4. Step 4: Simplify right side
    528.70x = 290,402.86
  5. Step 5: Solve for x
    x = 290,402.86/528.70
  6. Step 6: Final answer
    x = 549.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.