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Finding the Fourth Proportional to 912, 1,361.76 and 749.28

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Solution

The fourth proportional to 912, 1,361.76 and 749.28 is: 1,118.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    912 : 1,361.76 = 749.28 : x
  2. Step 2: Convert to fraction form
    912/1,361.76 = 749.28/x
  3. Step 3: Cross multiply
    912x = 1,361.76 × 749.28
  4. Step 4: Simplify right side
    912x = 1,020,339.53
  5. Step 5: Solve for x
    x = 1,020,339.53/912
  6. Step 6: Final answer
    x = 1,118.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.