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Finding the Fourth Proportional to 702.84, 970.14 and 408.30

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Solution

The fourth proportional to 702.84, 970.14 and 408.30 is: 563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.84 : 970.14 = 408.30 : x
  2. Step 2: Convert to fraction form
    702.84/970.14 = 408.30/x
  3. Step 3: Cross multiply
    702.84x = 970.14 × 408.30
  4. Step 4: Simplify right side
    702.84x = 396,108.16
  5. Step 5: Solve for x
    x = 396,108.16/702.84
  6. Step 6: Final answer
    x = 563.58

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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.