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Finding the Fourth Proportional to 697.45, 1,045.87 and 286.31

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Solution

The fourth proportional to 697.45, 1,045.87 and 286.31 is: 429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.45 : 1,045.87 = 286.31 : x
  2. Step 2: Convert to fraction form
    697.45/1,045.87 = 286.31/x
  3. Step 3: Cross multiply
    697.45x = 1,045.87 × 286.31
  4. Step 4: Simplify right side
    697.45x = 299,443.04
  5. Step 5: Solve for x
    x = 299,443.04/697.45
  6. Step 6: Final answer
    x = 429.34

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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.