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Finding the Fourth Proportional to 696.13, 1,046.32 and 605.91

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Solution

The fourth proportional to 696.13, 1,046.32 and 605.91 is: 910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.13 : 1,046.32 = 605.91 : x
  2. Step 2: Convert to fraction form
    696.13/1,046.32 = 605.91/x
  3. Step 3: Cross multiply
    696.13x = 1,046.32 × 605.91
  4. Step 4: Simplify right side
    696.13x = 633,978.16
  5. Step 5: Solve for x
    x = 633,978.16/696.13
  6. Step 6: Final answer
    x = 910.72

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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.