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Finding the Fourth Proportional to 457.54, 631.01 and 405.14

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Solution

The fourth proportional to 457.54, 631.01 and 405.14 is: 558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.54 : 631.01 = 405.14 : x
  2. Step 2: Convert to fraction form
    457.54/631.01 = 405.14/x
  3. Step 3: Cross multiply
    457.54x = 631.01 × 405.14
  4. Step 4: Simplify right side
    457.54x = 255,645.25
  5. Step 5: Solve for x
    x = 255,645.25/457.54
  6. Step 6: Final answer
    x = 558.74

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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.