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Finding the Fourth Proportional to 768.86, 1,061.03 and 419.55

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Solution

The fourth proportional to 768.86, 1,061.03 and 419.55 is: 578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.86 : 1,061.03 = 419.55 : x
  2. Step 2: Convert to fraction form
    768.86/1,061.03 = 419.55/x
  3. Step 3: Cross multiply
    768.86x = 1,061.03 × 419.55
  4. Step 4: Simplify right side
    768.86x = 445,151.71
  5. Step 5: Solve for x
    x = 445,151.71/768.86
  6. Step 6: Final answer
    x = 578.98

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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.