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Finding the Fourth Proportional to 931.97, 1,390.98 and 916.59

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Solution

The fourth proportional to 931.97, 1,390.98 and 916.59 is: 1,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.97 : 1,390.98 = 916.59 : x
  2. Step 2: Convert to fraction form
    931.97/1,390.98 = 916.59/x
  3. Step 3: Cross multiply
    931.97x = 1,390.98 × 916.59
  4. Step 4: Simplify right side
    931.97x = 1,274,959.54
  5. Step 5: Solve for x
    x = 1,274,959.54/931.97
  6. Step 6: Final answer
    x = 1,368.02

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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.