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Finding the Fourth Proportional to 463.16, 691.80 and 390.26

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Solution

The fourth proportional to 463.16, 691.80 and 390.26 is: 582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.16 : 691.80 = 390.26 : x
  2. Step 2: Convert to fraction form
    463.16/691.80 = 390.26/x
  3. Step 3: Cross multiply
    463.16x = 691.80 × 390.26
  4. Step 4: Simplify right side
    463.16x = 269,979.87
  5. Step 5: Solve for x
    x = 269,979.87/463.16
  6. Step 6: Final answer
    x = 582.91

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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.