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Finding the Fourth Proportional to 971.67, 1,457.01 and 576.75

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Solution

The fourth proportional to 971.67, 1,457.01 and 576.75 is: 864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.67 : 1,457.01 = 576.75 : x
  2. Step 2: Convert to fraction form
    971.67/1,457.01 = 576.75/x
  3. Step 3: Cross multiply
    971.67x = 1,457.01 × 576.75
  4. Step 4: Simplify right side
    971.67x = 840,330.52
  5. Step 5: Solve for x
    x = 840,330.52/971.67
  6. Step 6: Final answer
    x = 864.84

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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.