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Finding the Fourth Proportional to 971.38, 1,456.50 and 313.08

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Solution

The fourth proportional to 971.38, 1,456.50 and 313.08 is: 469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.38 : 1,456.50 = 313.08 : x
  2. Step 2: Convert to fraction form
    971.38/1,456.50 = 313.08/x
  3. Step 3: Cross multiply
    971.38x = 1,456.50 × 313.08
  4. Step 4: Simplify right side
    971.38x = 456,001.02
  5. Step 5: Solve for x
    x = 456,001.02/971.38
  6. Step 6: Final answer
    x = 469.44

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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.