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Finding the Fourth Proportional to 1,033.67, 1,424.54 and 702.11

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Solution

The fourth proportional to 1,033.67, 1,424.54 and 702.11 is: 967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.67 : 1,424.54 = 702.11 : x
  2. Step 2: Convert to fraction form
    1,033.67/1,424.54 = 702.11/x
  3. Step 3: Cross multiply
    1,033.67x = 1,424.54 × 702.11
  4. Step 4: Simplify right side
    1,033.67x = 1,000,183.78
  5. Step 5: Solve for x
    x = 1,000,183.78/1,033.67
  6. Step 6: Final answer
    x = 967.60

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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.