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Finding the Fourth Proportional to 1,775.26, 2,663 and 542.76

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Solution

The fourth proportional to 1,775.26, 2,663 and 542.76 is: 814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.26 : 2,663 = 542.76 : x
  2. Step 2: Convert to fraction form
    1,775.26/2,663 = 542.76/x
  3. Step 3: Cross multiply
    1,775.26x = 2,663 × 542.76
  4. Step 4: Simplify right side
    1,775.26x = 1,445,369.88
  5. Step 5: Solve for x
    x = 1,445,369.88/1,775.26
  6. Step 6: Final answer
    x = 814.17

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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.