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Finding the Fourth Proportional to 875.14, 1,209.62 and 665.65

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Solution

The fourth proportional to 875.14, 1,209.62 and 665.65 is: 920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.14 : 1,209.62 = 665.65 : x
  2. Step 2: Convert to fraction form
    875.14/1,209.62 = 665.65/x
  3. Step 3: Cross multiply
    875.14x = 1,209.62 × 665.65
  4. Step 4: Simplify right side
    875.14x = 805,182.98
  5. Step 5: Solve for x
    x = 805,182.98/875.14
  6. Step 6: Final answer
    x = 920.06

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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.