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Finding the Fourth Proportional to 708.12, 1,060.12 and 433.37

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Solution

The fourth proportional to 708.12, 1,060.12 and 433.37 is: 648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.12 : 1,060.12 = 433.37 : x
  2. Step 2: Convert to fraction form
    708.12/1,060.12 = 433.37/x
  3. Step 3: Cross multiply
    708.12x = 1,060.12 × 433.37
  4. Step 4: Simplify right side
    708.12x = 459,424.20
  5. Step 5: Solve for x
    x = 459,424.20/708.12
  6. Step 6: Final answer
    x = 648.79

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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.