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Finding the Fourth Proportional to 867.61, 1,290.27 and 840.27

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Solution

The fourth proportional to 867.61, 1,290.27 and 840.27 is: 1,249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.61 : 1,290.27 = 840.27 : x
  2. Step 2: Convert to fraction form
    867.61/1,290.27 = 840.27/x
  3. Step 3: Cross multiply
    867.61x = 1,290.27 × 840.27
  4. Step 4: Simplify right side
    867.61x = 1,084,175.17
  5. Step 5: Solve for x
    x = 1,084,175.17/867.61
  6. Step 6: Final answer
    x = 1,249.61

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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.