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Finding the Fourth Proportional to 697.12, 1,046.10 and 286.45

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Solution

The fourth proportional to 697.12, 1,046.10 and 286.45 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.12 : 1,046.10 = 286.45 : x
  2. Step 2: Convert to fraction form
    697.12/1,046.10 = 286.45/x
  3. Step 3: Cross multiply
    697.12x = 1,046.10 × 286.45
  4. Step 4: Simplify right side
    697.12x = 299,655.35
  5. Step 5: Solve for x
    x = 299,655.35/697.12
  6. Step 6: Final answer
    x = 429.85

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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.