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Finding the Fourth Proportional to 854.20, 1,280.05 and 463.87

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Solution

The fourth proportional to 854.20, 1,280.05 and 463.87 is: 695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.20 : 1,280.05 = 463.87 : x
  2. Step 2: Convert to fraction form
    854.20/1,280.05 = 463.87/x
  3. Step 3: Cross multiply
    854.20x = 1,280.05 × 463.87
  4. Step 4: Simplify right side
    854.20x = 593,776.79
  5. Step 5: Solve for x
    x = 593,776.79/854.20
  6. Step 6: Final answer
    x = 695.13

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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.