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Finding the Fourth Proportional to 862.69, 1,293.58 and 423.75

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Solution

The fourth proportional to 862.69, 1,293.58 and 423.75 is: 635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.69 : 1,293.58 = 423.75 : x
  2. Step 2: Convert to fraction form
    862.69/1,293.58 = 423.75/x
  3. Step 3: Cross multiply
    862.69x = 1,293.58 × 423.75
  4. Step 4: Simplify right side
    862.69x = 548,154.53
  5. Step 5: Solve for x
    x = 548,154.53/862.69
  6. Step 6: Final answer
    x = 635.40

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1.5x scale

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.