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Finding the Fourth Proportional to 971.99, 1,456.90 and 386.83

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Solution

The fourth proportional to 971.99, 1,456.90 and 386.83 is: 579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.99 : 1,456.90 = 386.83 : x
  2. Step 2: Convert to fraction form
    971.99/1,456.90 = 386.83/x
  3. Step 3: Cross multiply
    971.99x = 1,456.90 × 386.83
  4. Step 4: Simplify right side
    971.99x = 563,576.21
  5. Step 5: Solve for x
    x = 563,576.21/971.99
  6. Step 6: Final answer
    x = 579.82

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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.