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Finding the Fourth Proportional to 1,240.30, 1,860.33 and 753.22

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Solution

The fourth proportional to 1,240.30, 1,860.33 and 753.22 is: 1,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.30 : 1,860.33 = 753.22 : x
  2. Step 2: Convert to fraction form
    1,240.30/1,860.33 = 753.22/x
  3. Step 3: Cross multiply
    1,240.30x = 1,860.33 × 753.22
  4. Step 4: Simplify right side
    1,240.30x = 1,401,237.76
  5. Step 5: Solve for x
    x = 1,401,237.76/1,240.30
  6. Step 6: Final answer
    x = 1,129.76

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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.