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Finding the Fourth Proportional to 774.61, 1,069.01 and 425.30

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Solution

The fourth proportional to 774.61, 1,069.01 and 425.30 is: 586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.61 : 1,069.01 = 425.30 : x
  2. Step 2: Convert to fraction form
    774.61/1,069.01 = 425.30/x
  3. Step 3: Cross multiply
    774.61x = 1,069.01 × 425.30
  4. Step 4: Simplify right side
    774.61x = 454,649.95
  5. Step 5: Solve for x
    x = 454,649.95/774.61
  6. Step 6: Final answer
    x = 586.94

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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.