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Finding the Fourth Proportional to 702.18, 1,052.86 and 428.40

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Solution

The fourth proportional to 702.18, 1,052.86 and 428.40 is: 642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.18 : 1,052.86 = 428.40 : x
  2. Step 2: Convert to fraction form
    702.18/1,052.86 = 428.40/x
  3. Step 3: Cross multiply
    702.18x = 1,052.86 × 428.40
  4. Step 4: Simplify right side
    702.18x = 451,045.22
  5. Step 5: Solve for x
    x = 451,045.22/702.18
  6. Step 6: Final answer
    x = 642.35

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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.