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Finding the Fourth Proportional to 695.59, 1,037.49 and 586.63

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Solution

The fourth proportional to 695.59, 1,037.49 and 586.63 is: 874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.59 : 1,037.49 = 586.63 : x
  2. Step 2: Convert to fraction form
    695.59/1,037.49 = 586.63/x
  3. Step 3: Cross multiply
    695.59x = 1,037.49 × 586.63
  4. Step 4: Simplify right side
    695.59x = 608,617.57
  5. Step 5: Solve for x
    x = 608,617.57/695.59
  6. Step 6: Final answer
    x = 874.97

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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.