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Finding the Fourth Proportional to 775.23, 1,162.95 and 410.05

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Solution

The fourth proportional to 775.23, 1,162.95 and 410.05 is: 615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.23 : 1,162.95 = 410.05 : x
  2. Step 2: Convert to fraction form
    775.23/1,162.95 = 410.05/x
  3. Step 3: Cross multiply
    775.23x = 1,162.95 × 410.05
  4. Step 4: Simplify right side
    775.23x = 476,867.65
  5. Step 5: Solve for x
    x = 476,867.65/775.23
  6. Step 6: Final answer
    x = 615.13

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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.