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Finding the Fourth Proportional to 1,009.86, 1,515.39 and 393.65

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Solution

The fourth proportional to 1,009.86, 1,515.39 and 393.65 is: 590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.86 : 1,515.39 = 393.65 : x
  2. Step 2: Convert to fraction form
    1,009.86/1,515.39 = 393.65/x
  3. Step 3: Cross multiply
    1,009.86x = 1,515.39 × 393.65
  4. Step 4: Simplify right side
    1,009.86x = 596,533.27
  5. Step 5: Solve for x
    x = 596,533.27/1,009.86
  6. Step 6: Final answer
    x = 590.71

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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.