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Finding the Fourth Proportional to 972.84, 1,453.06 and 880.15

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Solution

The fourth proportional to 972.84, 1,453.06 and 880.15 is: 1,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.84 : 1,453.06 = 880.15 : x
  2. Step 2: Convert to fraction form
    972.84/1,453.06 = 880.15/x
  3. Step 3: Cross multiply
    972.84x = 1,453.06 × 880.15
  4. Step 4: Simplify right side
    972.84x = 1,278,910.76
  5. Step 5: Solve for x
    x = 1,278,910.76/972.84
  6. Step 6: Final answer
    x = 1,314.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.