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Finding the Fourth Proportional to 471.52, 710.48 and 392.14

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Solution

The fourth proportional to 471.52, 710.48 and 392.14 is: 590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.52 : 710.48 = 392.14 : x
  2. Step 2: Convert to fraction form
    471.52/710.48 = 392.14/x
  3. Step 3: Cross multiply
    471.52x = 710.48 × 392.14
  4. Step 4: Simplify right side
    471.52x = 278,607.63
  5. Step 5: Solve for x
    x = 278,607.63/471.52
  6. Step 6: Final answer
    x = 590.87

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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.