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Finding the Fourth Proportional to 457.80, 685.12 and 284.40

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Solution

The fourth proportional to 457.80, 685.12 and 284.40 is: 425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.80 : 685.12 = 284.40 : x
  2. Step 2: Convert to fraction form
    457.80/685.12 = 284.40/x
  3. Step 3: Cross multiply
    457.80x = 685.12 × 284.40
  4. Step 4: Simplify right side
    457.80x = 194,848.13
  5. Step 5: Solve for x
    x = 194,848.13/457.80
  6. Step 6: Final answer
    x = 425.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.