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Finding the Fourth Proportional to 470.11, 642.99 and 462.55

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Solution

The fourth proportional to 470.11, 642.99 and 462.55 is: 632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.11 : 642.99 = 462.55 : x
  2. Step 2: Convert to fraction form
    470.11/642.99 = 462.55/x
  3. Step 3: Cross multiply
    470.11x = 642.99 × 462.55
  4. Step 4: Simplify right side
    470.11x = 297,411.81
  5. Step 5: Solve for x
    x = 297,411.81/470.11
  6. Step 6: Final answer
    x = 632.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.