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Finding the Fourth Proportional to 1,439.75, 1,986.86 and 916.76

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Solution

The fourth proportional to 1,439.75, 1,986.86 and 916.76 is: 1,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.75 : 1,986.86 = 916.76 : x
  2. Step 2: Convert to fraction form
    1,439.75/1,986.86 = 916.76/x
  3. Step 3: Cross multiply
    1,439.75x = 1,986.86 × 916.76
  4. Step 4: Simplify right side
    1,439.75x = 1,821,473.77
  5. Step 5: Solve for x
    x = 1,821,473.77/1,439.75
  6. Step 6: Final answer
    x = 1,265.13

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1.5x scale

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.