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Finding the Fourth Proportional to 702.48, 973.94 and 663.60

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Solution

The fourth proportional to 702.48, 973.94 and 663.60 is: 920.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.48 : 973.94 = 663.60 : x
  2. Step 2: Convert to fraction form
    702.48/973.94 = 663.60/x
  3. Step 3: Cross multiply
    702.48x = 973.94 × 663.60
  4. Step 4: Simplify right side
    702.48x = 646,306.58
  5. Step 5: Solve for x
    x = 646,306.58/702.48
  6. Step 6: Final answer
    x = 920.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.