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Finding the Fourth Proportional to 768.46, 1,060.47 and 432.36

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Solution

The fourth proportional to 768.46, 1,060.47 and 432.36 is: 596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.46 : 1,060.47 = 432.36 : x
  2. Step 2: Convert to fraction form
    768.46/1,060.47 = 432.36/x
  3. Step 3: Cross multiply
    768.46x = 1,060.47 × 432.36
  4. Step 4: Simplify right side
    768.46x = 458,502.10
  5. Step 5: Solve for x
    x = 458,502.10/768.46
  6. Step 6: Final answer
    x = 596.65

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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.