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Finding the Fourth Proportional to 661.88, 992.61 and 457.76

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Solution

The fourth proportional to 661.88, 992.61 and 457.76 is: 686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.88 : 992.61 = 457.76 : x
  2. Step 2: Convert to fraction form
    661.88/992.61 = 457.76/x
  3. Step 3: Cross multiply
    661.88x = 992.61 × 457.76
  4. Step 4: Simplify right side
    661.88x = 454,374.05
  5. Step 5: Solve for x
    x = 454,374.05/661.88
  6. Step 6: Final answer
    x = 686.49

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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.