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Finding the Fourth Proportional to 971.32, 1,454.70 and 824.68

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Solution

The fourth proportional to 971.32, 1,454.70 and 824.68 is: 1,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.32 : 1,454.70 = 824.68 : x
  2. Step 2: Convert to fraction form
    971.32/1,454.70 = 824.68/x
  3. Step 3: Cross multiply
    971.32x = 1,454.70 × 824.68
  4. Step 4: Simplify right side
    971.32x = 1,199,662.00
  5. Step 5: Solve for x
    x = 1,199,662.00/971.32
  6. Step 6: Final answer
    x = 1,235.08

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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.