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Finding the Fourth Proportional to 718.19, 1,074.57 and 425.85

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Solution

The fourth proportional to 718.19, 1,074.57 and 425.85 is: 637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.19 : 1,074.57 = 425.85 : x
  2. Step 2: Convert to fraction form
    718.19/1,074.57 = 425.85/x
  3. Step 3: Cross multiply
    718.19x = 1,074.57 × 425.85
  4. Step 4: Simplify right side
    718.19x = 457,605.63
  5. Step 5: Solve for x
    x = 457,605.63/718.19
  6. Step 6: Final answer
    x = 637.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.