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Finding the Fourth Proportional to 1,465.79, 2,022.98 and 876.65

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Solution

The fourth proportional to 1,465.79, 2,022.98 and 876.65 is: 1,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.79 : 2,022.98 = 876.65 : x
  2. Step 2: Convert to fraction form
    1,465.79/2,022.98 = 876.65/x
  3. Step 3: Cross multiply
    1,465.79x = 2,022.98 × 876.65
  4. Step 4: Simplify right side
    1,465.79x = 1,773,430.92
  5. Step 5: Solve for x
    x = 1,773,430.92/1,465.79
  6. Step 6: Final answer
    x = 1,209.88

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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.