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Finding the Fourth Proportional to 702.02, 968.31 and 462.62

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Solution

The fourth proportional to 702.02, 968.31 and 462.62 is: 638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.02 : 968.31 = 462.62 : x
  2. Step 2: Convert to fraction form
    702.02/968.31 = 462.62/x
  3. Step 3: Cross multiply
    702.02x = 968.31 × 462.62
  4. Step 4: Simplify right side
    702.02x = 447,959.57
  5. Step 5: Solve for x
    x = 447,959.57/702.02
  6. Step 6: Final answer
    x = 638.10

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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.