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Finding the Fourth Proportional to 1,560.68, 2,340.61 and 520.72

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Solution

The fourth proportional to 1,560.68, 2,340.61 and 520.72 is: 780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.68 : 2,340.61 = 520.72 : x
  2. Step 2: Convert to fraction form
    1,560.68/2,340.61 = 520.72/x
  3. Step 3: Cross multiply
    1,560.68x = 2,340.61 × 520.72
  4. Step 4: Simplify right side
    1,560.68x = 1,218,795.29
  5. Step 5: Solve for x
    x = 1,218,795.29/1,560.68
  6. Step 6: Final answer
    x = 780.94

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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.