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Finding the Fourth Proportional to 912.29, 1,369.64 and 425.68

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Solution

The fourth proportional to 912.29, 1,369.64 and 425.68 is: 639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.29 : 1,369.64 = 425.68 : x
  2. Step 2: Convert to fraction form
    912.29/1,369.64 = 425.68/x
  3. Step 3: Cross multiply
    912.29x = 1,369.64 × 425.68
  4. Step 4: Simplify right side
    912.29x = 583,026.00
  5. Step 5: Solve for x
    x = 583,026.00/912.29
  6. Step 6: Final answer
    x = 639.08

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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.