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Finding the Fourth Proportional to 970.64, 1,456.20 and 321.38

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Solution

The fourth proportional to 970.64, 1,456.20 and 321.38 is: 482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.64 : 1,456.20 = 321.38 : x
  2. Step 2: Convert to fraction form
    970.64/1,456.20 = 321.38/x
  3. Step 3: Cross multiply
    970.64x = 1,456.20 × 321.38
  4. Step 4: Simplify right side
    970.64x = 467,993.56
  5. Step 5: Solve for x
    x = 467,993.56/970.64
  6. Step 6: Final answer
    x = 482.15

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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.