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Finding the Fourth Proportional to 918.73, 1,378.29 and 431.50

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Solution

The fourth proportional to 918.73, 1,378.29 and 431.50 is: 647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.73 : 1,378.29 = 431.50 : x
  2. Step 2: Convert to fraction form
    918.73/1,378.29 = 431.50/x
  3. Step 3: Cross multiply
    918.73x = 1,378.29 × 431.50
  4. Step 4: Simplify right side
    918.73x = 594,732.14
  5. Step 5: Solve for x
    x = 594,732.14/918.73
  6. Step 6: Final answer
    x = 647.34

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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.