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Finding the Fourth Proportional to 1,240.98, 1,862.16 and 591.63

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Solution

The fourth proportional to 1,240.98, 1,862.16 and 591.63 is: 887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.98 : 1,862.16 = 591.63 : x
  2. Step 2: Convert to fraction form
    1,240.98/1,862.16 = 591.63/x
  3. Step 3: Cross multiply
    1,240.98x = 1,862.16 × 591.63
  4. Step 4: Simplify right side
    1,240.98x = 1,101,709.72
  5. Step 5: Solve for x
    x = 1,101,709.72/1,240.98
  6. Step 6: Final answer
    x = 887.77

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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.