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Finding the Fourth Proportional to 1,106.17, 1,657.88 and 558.05

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Solution

The fourth proportional to 1,106.17, 1,657.88 and 558.05 is: 836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.17 : 1,657.88 = 558.05 : x
  2. Step 2: Convert to fraction form
    1,106.17/1,657.88 = 558.05/x
  3. Step 3: Cross multiply
    1,106.17x = 1,657.88 × 558.05
  4. Step 4: Simplify right side
    1,106.17x = 925,179.93
  5. Step 5: Solve for x
    x = 925,179.93/1,106.17
  6. Step 6: Final answer
    x = 836.38

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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.