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Finding the Fourth Proportional to 768.86, 1,061.10 and 603.38

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Solution

The fourth proportional to 768.86, 1,061.10 and 603.38 is: 832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.86 : 1,061.10 = 603.38 : x
  2. Step 2: Convert to fraction form
    768.86/1,061.10 = 603.38/x
  3. Step 3: Cross multiply
    768.86x = 1,061.10 × 603.38
  4. Step 4: Simplify right side
    768.86x = 640,246.52
  5. Step 5: Solve for x
    x = 640,246.52/768.86
  6. Step 6: Final answer
    x = 832.72

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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.