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Finding the Fourth Proportional to 704.31, 970.23 and 538.46

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Solution

The fourth proportional to 704.31, 970.23 and 538.46 is: 741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.31 : 970.23 = 538.46 : x
  2. Step 2: Convert to fraction form
    704.31/970.23 = 538.46/x
  3. Step 3: Cross multiply
    704.31x = 970.23 × 538.46
  4. Step 4: Simplify right side
    704.31x = 522,433.28
  5. Step 5: Solve for x
    x = 522,433.28/704.31
  6. Step 6: Final answer
    x = 741.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.