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Finding the Fourth Proportional to 695.62, 1,041.12 and 580.30

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Solution

The fourth proportional to 695.62, 1,041.12 and 580.30 is: 868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.62 : 1,041.12 = 580.30 : x
  2. Step 2: Convert to fraction form
    695.62/1,041.12 = 580.30/x
  3. Step 3: Cross multiply
    695.62x = 1,041.12 × 580.30
  4. Step 4: Simplify right side
    695.62x = 604,159.33
  5. Step 5: Solve for x
    x = 604,159.33/695.62
  6. Step 6: Final answer
    x = 868.52

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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.