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Finding the Fourth Proportional to 425.47, 585.80 and 386.54

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Solution

The fourth proportional to 425.47, 585.80 and 386.54 is: 532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.47 : 585.80 = 386.54 : x
  2. Step 2: Convert to fraction form
    425.47/585.80 = 386.54/x
  3. Step 3: Cross multiply
    425.47x = 585.80 × 386.54
  4. Step 4: Simplify right side
    425.47x = 226,434.64
  5. Step 5: Solve for x
    x = 226,434.64/425.47
  6. Step 6: Final answer
    x = 532.20

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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.