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Finding the Fourth Proportional to 768.19, 1,060.16 and 432.12

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Solution

The fourth proportional to 768.19, 1,060.16 and 432.12 is: 596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.19 : 1,060.16 = 432.12 : x
  2. Step 2: Convert to fraction form
    768.19/1,060.16 = 432.12/x
  3. Step 3: Cross multiply
    768.19x = 1,060.16 × 432.12
  4. Step 4: Simplify right side
    768.19x = 458,116.34
  5. Step 5: Solve for x
    x = 458,116.34/768.19
  6. Step 6: Final answer
    x = 596.36

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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.