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Finding the Fourth Proportional to 972.01, 1,456.49 and 386.69

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Solution

The fourth proportional to 972.01, 1,456.49 and 386.69 is: 579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.01 : 1,456.49 = 386.69 : x
  2. Step 2: Convert to fraction form
    972.01/1,456.49 = 386.69/x
  3. Step 3: Cross multiply
    972.01x = 1,456.49 × 386.69
  4. Step 4: Simplify right side
    972.01x = 563,208.18
  5. Step 5: Solve for x
    x = 563,208.18/972.01
  6. Step 6: Final answer
    x = 579.43

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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.