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Finding the Fourth Proportional to 1,106.49, 1,659.14 and 585.17

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Solution

The fourth proportional to 1,106.49, 1,659.14 and 585.17 is: 877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.49 : 1,659.14 = 585.17 : x
  2. Step 2: Convert to fraction form
    1,106.49/1,659.14 = 585.17/x
  3. Step 3: Cross multiply
    1,106.49x = 1,659.14 × 585.17
  4. Step 4: Simplify right side
    1,106.49x = 970,878.95
  5. Step 5: Solve for x
    x = 970,878.95/1,106.49
  6. Step 6: Final answer
    x = 877.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.