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Finding the Fourth Proportional to 702.54, 1,052.80 and 641.05

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Solution

The fourth proportional to 702.54, 1,052.80 and 641.05 is: 960.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.54 : 1,052.80 = 641.05 : x
  2. Step 2: Convert to fraction form
    702.54/1,052.80 = 641.05/x
  3. Step 3: Cross multiply
    702.54x = 1,052.80 × 641.05
  4. Step 4: Simplify right side
    702.54x = 674,893.21
  5. Step 5: Solve for x
    x = 674,893.21/702.54
  6. Step 6: Final answer
    x = 960.65

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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.