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Finding the Fourth Proportional to 1,040.85, 1,560.25 and 520.07

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Solution

The fourth proportional to 1,040.85, 1,560.25 and 520.07 is: 779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.85 : 1,560.25 = 520.07 : x
  2. Step 2: Convert to fraction form
    1,040.85/1,560.25 = 520.07/x
  3. Step 3: Cross multiply
    1,040.85x = 1,560.25 × 520.07
  4. Step 4: Simplify right side
    1,040.85x = 811,442.31
  5. Step 5: Solve for x
    x = 811,442.31/1,040.85
  6. Step 6: Final answer
    x = 779.60

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Double scale
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1.5x scale

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.