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Finding the Fourth Proportional to 1,001.48, 1,494.97 and 865.40

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Solution

The fourth proportional to 1,001.48, 1,494.97 and 865.40 is: 1,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.48 : 1,494.97 = 865.40 : x
  2. Step 2: Convert to fraction form
    1,001.48/1,494.97 = 865.40/x
  3. Step 3: Cross multiply
    1,001.48x = 1,494.97 × 865.40
  4. Step 4: Simplify right side
    1,001.48x = 1,293,747.04
  5. Step 5: Solve for x
    x = 1,293,747.04/1,001.48
  6. Step 6: Final answer
    x = 1,291.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.