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Finding the Fourth Proportional to 1,118.53, 1,677.93 and 541

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Solution

The fourth proportional to 1,118.53, 1,677.93 and 541 is: 811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.53 : 1,677.93 = 541 : x
  2. Step 2: Convert to fraction form
    1,118.53/1,677.93 = 541/x
  3. Step 3: Cross multiply
    1,118.53x = 1,677.93 × 541
  4. Step 4: Simplify right side
    1,118.53x = 907,760.13
  5. Step 5: Solve for x
    x = 907,760.13/1,118.53
  6. Step 6: Final answer
    x = 811.57

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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.