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Finding the Fourth Proportional to 1,057.15, 1,585.71 and 287.65

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Solution

The fourth proportional to 1,057.15, 1,585.71 and 287.65 is: 431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.15 : 1,585.71 = 287.65 : x
  2. Step 2: Convert to fraction form
    1,057.15/1,585.71 = 287.65/x
  3. Step 3: Cross multiply
    1,057.15x = 1,585.71 × 287.65
  4. Step 4: Simplify right side
    1,057.15x = 456,129.48
  5. Step 5: Solve for x
    x = 456,129.48/1,057.15
  6. Step 6: Final answer
    x = 431.47

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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.