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Finding the Fourth Proportional to 474.47, 654.49 and 285.28

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Solution

The fourth proportional to 474.47, 654.49 and 285.28 is: 393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.47 : 654.49 = 285.28 : x
  2. Step 2: Convert to fraction form
    474.47/654.49 = 285.28/x
  3. Step 3: Cross multiply
    474.47x = 654.49 × 285.28
  4. Step 4: Simplify right side
    474.47x = 186,712.52
  5. Step 5: Solve for x
    x = 186,712.52/474.47
  6. Step 6: Final answer
    x = 393.52

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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.