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Finding the Fourth Proportional to 912.49, 1,260.74 and 581.71

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Solution

The fourth proportional to 912.49, 1,260.74 and 581.71 is: 803.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.49 : 1,260.74 = 581.71 : x
  2. Step 2: Convert to fraction form
    912.49/1,260.74 = 581.71/x
  3. Step 3: Cross multiply
    912.49x = 1,260.74 × 581.71
  4. Step 4: Simplify right side
    912.49x = 733,385.07
  5. Step 5: Solve for x
    x = 733,385.07/912.49
  6. Step 6: Final answer
    x = 803.72

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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.