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Finding the Fourth Proportional to 1,052.53, 1,450.20 and 702.61

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Solution

The fourth proportional to 1,052.53, 1,450.20 and 702.61 is: 968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.53 : 1,450.20 = 702.61 : x
  2. Step 2: Convert to fraction form
    1,052.53/1,450.20 = 702.61/x
  3. Step 3: Cross multiply
    1,052.53x = 1,450.20 × 702.61
  4. Step 4: Simplify right side
    1,052.53x = 1,018,924.03
  5. Step 5: Solve for x
    x = 1,018,924.03/1,052.53
  6. Step 6: Final answer
    x = 968.07

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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.