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Finding the Fourth Proportional to 912.46, 1,369.50 and 425.78

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Solution

The fourth proportional to 912.46, 1,369.50 and 425.78 is: 639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.46 : 1,369.50 = 425.78 : x
  2. Step 2: Convert to fraction form
    912.46/1,369.50 = 425.78/x
  3. Step 3: Cross multiply
    912.46x = 1,369.50 × 425.78
  4. Step 4: Simplify right side
    912.46x = 583,109.13
  5. Step 5: Solve for x
    x = 583,109.13/912.46
  6. Step 6: Final answer
    x = 639.05

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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.