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Finding the Fourth Proportional to 910.71, 1,372.16 and 824.14

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Solution

The fourth proportional to 910.71, 1,372.16 and 824.14 is: 1,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.71 : 1,372.16 = 824.14 : x
  2. Step 2: Convert to fraction form
    910.71/1,372.16 = 824.14/x
  3. Step 3: Cross multiply
    910.71x = 1,372.16 × 824.14
  4. Step 4: Simplify right side
    910.71x = 1,130,851.08
  5. Step 5: Solve for x
    x = 1,130,851.08/910.71
  6. Step 6: Final answer
    x = 1,241.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.