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Finding the Fourth Proportional to 702.90, 970.38 and 493.38

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Solution

The fourth proportional to 702.90, 970.38 and 493.38 is: 681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.90 : 970.38 = 493.38 : x
  2. Step 2: Convert to fraction form
    702.90/970.38 = 493.38/x
  3. Step 3: Cross multiply
    702.90x = 970.38 × 493.38
  4. Step 4: Simplify right side
    702.90x = 478,766.08
  5. Step 5: Solve for x
    x = 478,766.08/702.90
  6. Step 6: Final answer
    x = 681.13

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1.5x scale

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.