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Finding the Fourth Proportional to 933.19, 1,391.86 and 916.79

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Solution

The fourth proportional to 933.19, 1,391.86 and 916.79 is: 1,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.19 : 1,391.86 = 916.79 : x
  2. Step 2: Convert to fraction form
    933.19/1,391.86 = 916.79/x
  3. Step 3: Cross multiply
    933.19x = 1,391.86 × 916.79
  4. Step 4: Simplify right side
    933.19x = 1,276,042.14
  5. Step 5: Solve for x
    x = 1,276,042.14/933.19
  6. Step 6: Final answer
    x = 1,367.40

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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.