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Finding the Fourth Proportional to 841.79, 1,154.25 and 758.57

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Solution

The fourth proportional to 841.79, 1,154.25 and 758.57 is: 1,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.79 : 1,154.25 = 758.57 : x
  2. Step 2: Convert to fraction form
    841.79/1,154.25 = 758.57/x
  3. Step 3: Cross multiply
    841.79x = 1,154.25 × 758.57
  4. Step 4: Simplify right side
    841.79x = 875,573.65
  5. Step 5: Solve for x
    x = 875,573.65/841.79
  6. Step 6: Final answer
    x = 1,040.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.