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Finding the Fourth Proportional to 854.86, 1,281.63 and 392.30

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Solution

The fourth proportional to 854.86, 1,281.63 and 392.30 is: 588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.86 : 1,281.63 = 392.30 : x
  2. Step 2: Convert to fraction form
    854.86/1,281.63 = 392.30/x
  3. Step 3: Cross multiply
    854.86x = 1,281.63 × 392.30
  4. Step 4: Simplify right side
    854.86x = 502,784.69
  5. Step 5: Solve for x
    x = 502,784.69/854.86
  6. Step 6: Final answer
    x = 588.15

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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.