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Finding the Fourth Proportional to 642.13, 962.33 and 459.07

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Solution

The fourth proportional to 642.13, 962.33 and 459.07 is: 687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.13 : 962.33 = 459.07 : x
  2. Step 2: Convert to fraction form
    642.13/962.33 = 459.07/x
  3. Step 3: Cross multiply
    642.13x = 962.33 × 459.07
  4. Step 4: Simplify right side
    642.13x = 441,774.71
  5. Step 5: Solve for x
    x = 441,774.71/642.13
  6. Step 6: Final answer
    x = 687.99

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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.