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Finding the Fourth Proportional to 970.86, 1,456.29 and 321.59

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Solution

The fourth proportional to 970.86, 1,456.29 and 321.59 is: 482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.86 : 1,456.29 = 321.59 : x
  2. Step 2: Convert to fraction form
    970.86/1,456.29 = 321.59/x
  3. Step 3: Cross multiply
    970.86x = 1,456.29 × 321.59
  4. Step 4: Simplify right side
    970.86x = 468,321.02
  5. Step 5: Solve for x
    x = 468,321.02/970.86
  6. Step 6: Final answer
    x = 482.38

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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.