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Finding the Fourth Proportional to 774.96, 1,069.45 and 425.65

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Solution

The fourth proportional to 774.96, 1,069.45 and 425.65 is: 587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.96 : 1,069.45 = 425.65 : x
  2. Step 2: Convert to fraction form
    774.96/1,069.45 = 425.65/x
  3. Step 3: Cross multiply
    774.96x = 1,069.45 × 425.65
  4. Step 4: Simplify right side
    774.96x = 455,206.59
  5. Step 5: Solve for x
    x = 455,206.59/774.96
  6. Step 6: Final answer
    x = 587.39

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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.