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Finding the Fourth Proportional to 1,314.28, 1,970.04 and 663.65

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Solution

The fourth proportional to 1,314.28, 1,970.04 and 663.65 is: 994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.28 : 1,970.04 = 663.65 : x
  2. Step 2: Convert to fraction form
    1,314.28/1,970.04 = 663.65/x
  3. Step 3: Cross multiply
    1,314.28x = 1,970.04 × 663.65
  4. Step 4: Simplify right side
    1,314.28x = 1,307,417.05
  5. Step 5: Solve for x
    x = 1,307,417.05/1,314.28
  6. Step 6: Final answer
    x = 994.78

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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.