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Finding the Fourth Proportional to 702.79, 1,052.15 and 409.40

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Solution

The fourth proportional to 702.79, 1,052.15 and 409.40 is: 612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.79 : 1,052.15 = 409.40 : x
  2. Step 2: Convert to fraction form
    702.79/1,052.15 = 409.40/x
  3. Step 3: Cross multiply
    702.79x = 1,052.15 × 409.40
  4. Step 4: Simplify right side
    702.79x = 430,746.85
  5. Step 5: Solve for x
    x = 430,746.85/702.79
  6. Step 6: Final answer
    x = 612.91

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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.