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Finding the Fourth Proportional to 1,241.59, 1,858.39 and 655.76

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Solution

The fourth proportional to 1,241.59, 1,858.39 and 655.76 is: 981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.59 : 1,858.39 = 655.76 : x
  2. Step 2: Convert to fraction form
    1,241.59/1,858.39 = 655.76/x
  3. Step 3: Cross multiply
    1,241.59x = 1,858.39 × 655.76
  4. Step 4: Simplify right side
    1,241.59x = 1,218,649.35
  5. Step 5: Solve for x
    x = 1,218,649.35/1,241.59
  6. Step 6: Final answer
    x = 981.52

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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.