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Finding the Fourth Proportional to 1,040.74, 1,560.69 and 520.54

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Solution

The fourth proportional to 1,040.74, 1,560.69 and 520.54 is: 780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.74 : 1,560.69 = 520.54 : x
  2. Step 2: Convert to fraction form
    1,040.74/1,560.69 = 520.54/x
  3. Step 3: Cross multiply
    1,040.74x = 1,560.69 × 520.54
  4. Step 4: Simplify right side
    1,040.74x = 812,401.57
  5. Step 5: Solve for x
    x = 812,401.57/1,040.74
  6. Step 6: Final answer
    x = 780.60

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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.