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Finding the Fourth Proportional to 1,108.68, 1,659.45 and 587.94

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Solution

The fourth proportional to 1,108.68, 1,659.45 and 587.94 is: 880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.68 : 1,659.45 = 587.94 : x
  2. Step 2: Convert to fraction form
    1,108.68/1,659.45 = 587.94/x
  3. Step 3: Cross multiply
    1,108.68x = 1,659.45 × 587.94
  4. Step 4: Simplify right side
    1,108.68x = 975,657.03
  5. Step 5: Solve for x
    x = 975,657.03/1,108.68
  6. Step 6: Final answer
    x = 880.02

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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.