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Finding the Fourth Proportional to 778.55, 1,074.45 and 429.23

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Solution

The fourth proportional to 778.55, 1,074.45 and 429.23 is: 592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.55 : 1,074.45 = 429.23 : x
  2. Step 2: Convert to fraction form
    778.55/1,074.45 = 429.23/x
  3. Step 3: Cross multiply
    778.55x = 1,074.45 × 429.23
  4. Step 4: Simplify right side
    778.55x = 461,186.17
  5. Step 5: Solve for x
    x = 461,186.17/778.55
  6. Step 6: Final answer
    x = 592.37

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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.