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Finding the Fourth Proportional to 1,074.65, 1,612.76 and 425.57

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Solution

The fourth proportional to 1,074.65, 1,612.76 and 425.57 is: 638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.65 : 1,612.76 = 425.57 : x
  2. Step 2: Convert to fraction form
    1,074.65/1,612.76 = 425.57/x
  3. Step 3: Cross multiply
    1,074.65x = 1,612.76 × 425.57
  4. Step 4: Simplify right side
    1,074.65x = 686,332.08
  5. Step 5: Solve for x
    x = 686,332.08/1,074.65
  6. Step 6: Final answer
    x = 638.66

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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.