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Finding the Fourth Proportional to 768.54, 1,060.92 and 594.66

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Solution

The fourth proportional to 768.54, 1,060.92 and 594.66 is: 820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.54 : 1,060.92 = 594.66 : x
  2. Step 2: Convert to fraction form
    768.54/1,060.92 = 594.66/x
  3. Step 3: Cross multiply
    768.54x = 1,060.92 × 594.66
  4. Step 4: Simplify right side
    768.54x = 630,886.69
  5. Step 5: Solve for x
    x = 630,886.69/768.54
  6. Step 6: Final answer
    x = 820.89

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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.