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Finding the Fourth Proportional to 912.35, 1,259.16 and 690.92

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Solution

The fourth proportional to 912.35, 1,259.16 and 690.92 is: 953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.35 : 1,259.16 = 690.92 : x
  2. Step 2: Convert to fraction form
    912.35/1,259.16 = 690.92/x
  3. Step 3: Cross multiply
    912.35x = 1,259.16 × 690.92
  4. Step 4: Simplify right side
    912.35x = 869,972.53
  5. Step 5: Solve for x
    x = 869,972.53/912.35
  6. Step 6: Final answer
    x = 953.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.