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Finding the Fourth Proportional to 702.80, 1,052.91 and 587.99

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Solution

The fourth proportional to 702.80, 1,052.91 and 587.99 is: 880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.80 : 1,052.91 = 587.99 : x
  2. Step 2: Convert to fraction form
    702.80/1,052.91 = 587.99/x
  3. Step 3: Cross multiply
    702.80x = 1,052.91 × 587.99
  4. Step 4: Simplify right side
    702.80x = 619,100.55
  5. Step 5: Solve for x
    x = 619,100.55/702.80
  6. Step 6: Final answer
    x = 880.91

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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.