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Finding the Fourth Proportional to 1,105.32, 1,657.62 and 520.23

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Solution

The fourth proportional to 1,105.32, 1,657.62 and 520.23 is: 780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.32 : 1,657.62 = 520.23 : x
  2. Step 2: Convert to fraction form
    1,105.32/1,657.62 = 520.23/x
  3. Step 3: Cross multiply
    1,105.32x = 1,657.62 × 520.23
  4. Step 4: Simplify right side
    1,105.32x = 862,343.65
  5. Step 5: Solve for x
    x = 862,343.65/1,105.32
  6. Step 6: Final answer
    x = 780.18

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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.