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Finding the Fourth Proportional to 970.31, 1,455.39 and 385.29

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Solution

The fourth proportional to 970.31, 1,455.39 and 385.29 is: 577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.31 : 1,455.39 = 385.29 : x
  2. Step 2: Convert to fraction form
    970.31/1,455.39 = 385.29/x
  3. Step 3: Cross multiply
    970.31x = 1,455.39 × 385.29
  4. Step 4: Simplify right side
    970.31x = 560,747.21
  5. Step 5: Solve for x
    x = 560,747.21/970.31
  6. Step 6: Final answer
    x = 577.90

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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.