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Finding the Fourth Proportional to 460.66, 691.62 and 392.62

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Solution

The fourth proportional to 460.66, 691.62 and 392.62 is: 589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.66 : 691.62 = 392.62 : x
  2. Step 2: Convert to fraction form
    460.66/691.62 = 392.62/x
  3. Step 3: Cross multiply
    460.66x = 691.62 × 392.62
  4. Step 4: Simplify right side
    460.66x = 271,543.84
  5. Step 5: Solve for x
    x = 271,543.84/460.66
  6. Step 6: Final answer
    x = 589.47

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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.