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Finding the Fourth Proportional to 1,148.40, 1,585.17 and 817.79

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Solution

The fourth proportional to 1,148.40, 1,585.17 and 817.79 is: 1,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.40 : 1,585.17 = 817.79 : x
  2. Step 2: Convert to fraction form
    1,148.40/1,585.17 = 817.79/x
  3. Step 3: Cross multiply
    1,148.40x = 1,585.17 × 817.79
  4. Step 4: Simplify right side
    1,148.40x = 1,296,328.25
  5. Step 5: Solve for x
    x = 1,296,328.25/1,148.40
  6. Step 6: Final answer
    x = 1,128.81

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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.