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Finding the Fourth Proportional to 702.99, 970.10 and 404.20

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Solution

The fourth proportional to 702.99, 970.10 and 404.20 is: 557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.99 : 970.10 = 404.20 : x
  2. Step 2: Convert to fraction form
    702.99/970.10 = 404.20/x
  3. Step 3: Cross multiply
    702.99x = 970.10 × 404.20
  4. Step 4: Simplify right side
    702.99x = 392,111.49
  5. Step 5: Solve for x
    x = 392,111.49/702.99
  6. Step 6: Final answer
    x = 557.78

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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.