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Finding the Fourth Proportional to 702.28, 1,052.99 and 291.17

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Solution

The fourth proportional to 702.28, 1,052.99 and 291.17 is: 436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.28 : 1,052.99 = 291.17 : x
  2. Step 2: Convert to fraction form
    702.28/1,052.99 = 291.17/x
  3. Step 3: Cross multiply
    702.28x = 1,052.99 × 291.17
  4. Step 4: Simplify right side
    702.28x = 306,599.10
  5. Step 5: Solve for x
    x = 306,599.10/702.28
  6. Step 6: Final answer
    x = 436.58

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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.