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Finding the Fourth Proportional to 1,451.77, 2,177.63 and 356.10

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Solution

The fourth proportional to 1,451.77, 2,177.63 and 356.10 is: 534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.77 : 2,177.63 = 356.10 : x
  2. Step 2: Convert to fraction form
    1,451.77/2,177.63 = 356.10/x
  3. Step 3: Cross multiply
    1,451.77x = 2,177.63 × 356.10
  4. Step 4: Simplify right side
    1,451.77x = 775,447.43
  5. Step 5: Solve for x
    x = 775,447.43/1,451.77
  6. Step 6: Final answer
    x = 534.14

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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.