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Finding the Fourth Proportional to 774.86, 1,069.34 and 425.57

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Solution

The fourth proportional to 774.86, 1,069.34 and 425.57 is: 587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.86 : 1,069.34 = 425.57 : x
  2. Step 2: Convert to fraction form
    774.86/1,069.34 = 425.57/x
  3. Step 3: Cross multiply
    774.86x = 1,069.34 × 425.57
  4. Step 4: Simplify right side
    774.86x = 455,071.55
  5. Step 5: Solve for x
    x = 455,071.55/774.86
  6. Step 6: Final answer
    x = 587.30

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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.