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Finding the Fourth Proportional to 971.22, 1,341.05 and 784.11

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Solution

The fourth proportional to 971.22, 1,341.05 and 784.11 is: 1,082.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.22 : 1,341.05 = 784.11 : x
  2. Step 2: Convert to fraction form
    971.22/1,341.05 = 784.11/x
  3. Step 3: Cross multiply
    971.22x = 1,341.05 × 784.11
  4. Step 4: Simplify right side
    971.22x = 1,051,526.79
  5. Step 5: Solve for x
    x = 1,051,526.79/971.22
  6. Step 6: Final answer
    x = 1,082.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.