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Finding the Fourth Proportional to 1,241.61, 1,859.58 and 592.80

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Solution

The fourth proportional to 1,241.61, 1,859.58 and 592.80 is: 887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.61 : 1,859.58 = 592.80 : x
  2. Step 2: Convert to fraction form
    1,241.61/1,859.58 = 592.80/x
  3. Step 3: Cross multiply
    1,241.61x = 1,859.58 × 592.80
  4. Step 4: Simplify right side
    1,241.61x = 1,102,359.02
  5. Step 5: Solve for x
    x = 1,102,359.02/1,241.61
  6. Step 6: Final answer
    x = 887.85

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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.