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Finding the Fourth Proportional to 970.79, 1,449.50 and 878.45

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Solution

The fourth proportional to 970.79, 1,449.50 and 878.45 is: 1,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.79 : 1,449.50 = 878.45 : x
  2. Step 2: Convert to fraction form
    970.79/1,449.50 = 878.45/x
  3. Step 3: Cross multiply
    970.79x = 1,449.50 × 878.45
  4. Step 4: Simplify right side
    970.79x = 1,273,301.64
  5. Step 5: Solve for x
    x = 1,273,301.64/970.79
  6. Step 6: Final answer
    x = 1,311.62

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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.