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Finding the Fourth Proportional to 675.62, 1,006.80 and 653.60

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Solution

The fourth proportional to 675.62, 1,006.80 and 653.60 is: 973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.62 : 1,006.80 = 653.60 : x
  2. Step 2: Convert to fraction form
    675.62/1,006.80 = 653.60/x
  3. Step 3: Cross multiply
    675.62x = 1,006.80 × 653.60
  4. Step 4: Simplify right side
    675.62x = 658,044.55
  5. Step 5: Solve for x
    x = 658,044.55/675.62
  6. Step 6: Final answer
    x = 973.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.