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Finding the Fourth Proportional to 695.04, 1,037.92 and 654.54

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Solution

The fourth proportional to 695.04, 1,037.92 and 654.54 is: 977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.04 : 1,037.92 = 654.54 : x
  2. Step 2: Convert to fraction form
    695.04/1,037.92 = 654.54/x
  3. Step 3: Cross multiply
    695.04x = 1,037.92 × 654.54
  4. Step 4: Simplify right side
    695.04x = 679,360.16
  5. Step 5: Solve for x
    x = 679,360.16/695.04
  6. Step 6: Final answer
    x = 977.44

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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.