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Finding the Fourth Proportional to 768.16, 1,060.24 and 593.12

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Solution

The fourth proportional to 768.16, 1,060.24 and 593.12 is: 818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.16 : 1,060.24 = 593.12 : x
  2. Step 2: Convert to fraction form
    768.16/1,060.24 = 593.12/x
  3. Step 3: Cross multiply
    768.16x = 1,060.24 × 593.12
  4. Step 4: Simplify right side
    768.16x = 628,849.55
  5. Step 5: Solve for x
    x = 628,849.55/768.16
  6. Step 6: Final answer
    x = 818.64

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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.