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Finding the Fourth Proportional to 675.13, 1,013.80 and 624.60

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Solution

The fourth proportional to 675.13, 1,013.80 and 624.60 is: 937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.13 : 1,013.80 = 624.60 : x
  2. Step 2: Convert to fraction form
    675.13/1,013.80 = 624.60/x
  3. Step 3: Cross multiply
    675.13x = 1,013.80 × 624.60
  4. Step 4: Simplify right side
    675.13x = 633,219.48
  5. Step 5: Solve for x
    x = 633,219.48/675.13
  6. Step 6: Final answer
    x = 937.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.