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Finding the Fourth Proportional to 661.62, 991.53 and 468.84

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Solution

The fourth proportional to 661.62, 991.53 and 468.84 is: 702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.62 : 991.53 = 468.84 : x
  2. Step 2: Convert to fraction form
    661.62/991.53 = 468.84/x
  3. Step 3: Cross multiply
    661.62x = 991.53 × 468.84
  4. Step 4: Simplify right side
    661.62x = 464,868.93
  5. Step 5: Solve for x
    x = 464,868.93/661.62
  6. Step 6: Final answer
    x = 702.62

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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.