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Finding the Fourth Proportional to 970.64, 1,456.14 and 354.33

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Solution

The fourth proportional to 970.64, 1,456.14 and 354.33 is: 531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.64 : 1,456.14 = 354.33 : x
  2. Step 2: Convert to fraction form
    970.64/1,456.14 = 354.33/x
  3. Step 3: Cross multiply
    970.64x = 1,456.14 × 354.33
  4. Step 4: Simplify right side
    970.64x = 515,954.09
  5. Step 5: Solve for x
    x = 515,954.09/970.64
  6. Step 6: Final answer
    x = 531.56

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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.