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Finding the Fourth Proportional to 1,352.65, 1,864.47 and 979.12

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Solution

The fourth proportional to 1,352.65, 1,864.47 and 979.12 is: 1,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.65 : 1,864.47 = 979.12 : x
  2. Step 2: Convert to fraction form
    1,352.65/1,864.47 = 979.12/x
  3. Step 3: Cross multiply
    1,352.65x = 1,864.47 × 979.12
  4. Step 4: Simplify right side
    1,352.65x = 1,825,539.87
  5. Step 5: Solve for x
    x = 1,825,539.87/1,352.65
  6. Step 6: Final answer
    x = 1,349.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.