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Finding the Fourth Proportional to 1,520.00, 2,278.63 and 545.87

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Solution

The fourth proportional to 1,520.00, 2,278.63 and 545.87 is: 818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.00 : 2,278.63 = 545.87 : x
  2. Step 2: Convert to fraction form
    1,520.00/2,278.63 = 545.87/x
  3. Step 3: Cross multiply
    1,520.00x = 2,278.63 × 545.87
  4. Step 4: Simplify right side
    1,520.00x = 1,243,839.07
  5. Step 5: Solve for x
    x = 1,243,839.07/1,520.00
  6. Step 6: Final answer
    x = 818.32

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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.