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Finding the Fourth Proportional to 1,291.65, 1,937.15 and 511.38

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Solution

The fourth proportional to 1,291.65, 1,937.15 and 511.38 is: 766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.65 : 1,937.15 = 511.38 : x
  2. Step 2: Convert to fraction form
    1,291.65/1,937.15 = 511.38/x
  3. Step 3: Cross multiply
    1,291.65x = 1,937.15 × 511.38
  4. Step 4: Simplify right side
    1,291.65x = 990,619.13
  5. Step 5: Solve for x
    x = 990,619.13/1,291.65
  6. Step 6: Final answer
    x = 766.94

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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.