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Finding the Fourth Proportional to 774.97, 1,069.42 and 425.67

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Solution

The fourth proportional to 774.97, 1,069.42 and 425.67 is: 587.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.97 : 1,069.42 = 425.67 : x
  2. Step 2: Convert to fraction form
    774.97/1,069.42 = 425.67/x
  3. Step 3: Cross multiply
    774.97x = 1,069.42 × 425.67
  4. Step 4: Simplify right side
    774.97x = 455,220.01
  5. Step 5: Solve for x
    x = 455,220.01/774.97
  6. Step 6: Final answer
    x = 587.40

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1.5x scale

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.