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Finding the Fourth Proportional to 888.50, 1,225.86 and 702.02

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Solution

The fourth proportional to 888.50, 1,225.86 and 702.02 is: 968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.50 : 1,225.86 = 702.02 : x
  2. Step 2: Convert to fraction form
    888.50/1,225.86 = 702.02/x
  3. Step 3: Cross multiply
    888.50x = 1,225.86 × 702.02
  4. Step 4: Simplify right side
    888.50x = 860,578.24
  5. Step 5: Solve for x
    x = 860,578.24/888.50
  6. Step 6: Final answer
    x = 968.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.