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Finding the Fourth Proportional to 924.93, 1,277.42 and 717.60

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Solution

The fourth proportional to 924.93, 1,277.42 and 717.60 is: 991.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.93 : 1,277.42 = 717.60 : x
  2. Step 2: Convert to fraction form
    924.93/1,277.42 = 717.60/x
  3. Step 3: Cross multiply
    924.93x = 1,277.42 × 717.60
  4. Step 4: Simplify right side
    924.93x = 916,672.85
  5. Step 5: Solve for x
    x = 916,672.85/924.93
  6. Step 6: Final answer
    x = 991.07

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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.