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Finding the Fourth Proportional to 753.67, 1,037.60 and 642.50

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Solution

The fourth proportional to 753.67, 1,037.60 and 642.50 is: 884.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.67 : 1,037.60 = 642.50 : x
  2. Step 2: Convert to fraction form
    753.67/1,037.60 = 642.50/x
  3. Step 3: Cross multiply
    753.67x = 1,037.60 × 642.50
  4. Step 4: Simplify right side
    753.67x = 666,658.00
  5. Step 5: Solve for x
    x = 666,658.00/753.67
  6. Step 6: Final answer
    x = 884.55

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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.