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Finding the Fourth Proportional to 702.31, 1,056.59 and 428.62

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Solution

The fourth proportional to 702.31, 1,056.59 and 428.62 is: 644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.31 : 1,056.59 = 428.62 : x
  2. Step 2: Convert to fraction form
    702.31/1,056.59 = 428.62/x
  3. Step 3: Cross multiply
    702.31x = 1,056.59 × 428.62
  4. Step 4: Simplify right side
    702.31x = 452,875.61
  5. Step 5: Solve for x
    x = 452,875.61/702.31
  6. Step 6: Final answer
    x = 644.84

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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.