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Finding the Fourth Proportional to 463.03, 691.63 and 390.13

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Solution

The fourth proportional to 463.03, 691.63 and 390.13 is: 582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.03 : 691.63 = 390.13 : x
  2. Step 2: Convert to fraction form
    463.03/691.63 = 390.13/x
  3. Step 3: Cross multiply
    463.03x = 691.63 × 390.13
  4. Step 4: Simplify right side
    463.03x = 269,825.61
  5. Step 5: Solve for x
    x = 269,825.61/463.03
  6. Step 6: Final answer
    x = 582.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.