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Finding the Fourth Proportional to 702.31, 1,052.87 and 291.19

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Solution

The fourth proportional to 702.31, 1,052.87 and 291.19 is: 436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.31 : 1,052.87 = 291.19 : x
  2. Step 2: Convert to fraction form
    702.31/1,052.87 = 291.19/x
  3. Step 3: Cross multiply
    702.31x = 1,052.87 × 291.19
  4. Step 4: Simplify right side
    702.31x = 306,585.22
  5. Step 5: Solve for x
    x = 306,585.22/702.31
  6. Step 6: Final answer
    x = 436.54

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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.