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Finding the Fourth Proportional to 1,585.87, 2,379.65 and 649.51

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Solution

The fourth proportional to 1,585.87, 2,379.65 and 649.51 is: 974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.87 : 2,379.65 = 649.51 : x
  2. Step 2: Convert to fraction form
    1,585.87/2,379.65 = 649.51/x
  3. Step 3: Cross multiply
    1,585.87x = 2,379.65 × 649.51
  4. Step 4: Simplify right side
    1,585.87x = 1,545,614.01
  5. Step 5: Solve for x
    x = 1,545,614.01/1,585.87
  6. Step 6: Final answer
    x = 974.61

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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.