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Finding the Fourth Proportional to 1,149.71, 1,585.88 and 957.58

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Solution

The fourth proportional to 1,149.71, 1,585.88 and 957.58 is: 1,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.71 : 1,585.88 = 957.58 : x
  2. Step 2: Convert to fraction form
    1,149.71/1,585.88 = 957.58/x
  3. Step 3: Cross multiply
    1,149.71x = 1,585.88 × 957.58
  4. Step 4: Simplify right side
    1,149.71x = 1,518,606.97
  5. Step 5: Solve for x
    x = 1,518,606.97/1,149.71
  6. Step 6: Final answer
    x = 1,320.86

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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.