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Finding the Fourth Proportional to 971.20, 1,449.76 and 898.93

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Solution

The fourth proportional to 971.20, 1,449.76 and 898.93 is: 1,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.20 : 1,449.76 = 898.93 : x
  2. Step 2: Convert to fraction form
    971.20/1,449.76 = 898.93/x
  3. Step 3: Cross multiply
    971.20x = 1,449.76 × 898.93
  4. Step 4: Simplify right side
    971.20x = 1,303,228.26
  5. Step 5: Solve for x
    x = 1,303,228.26/971.20
  6. Step 6: Final answer
    x = 1,341.88

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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.