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Finding the Fourth Proportional to 684.49, 1,025.25 and 424.56

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Solution

The fourth proportional to 684.49, 1,025.25 and 424.56 is: 635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.49 : 1,025.25 = 424.56 : x
  2. Step 2: Convert to fraction form
    684.49/1,025.25 = 424.56/x
  3. Step 3: Cross multiply
    684.49x = 1,025.25 × 424.56
  4. Step 4: Simplify right side
    684.49x = 435,280.14
  5. Step 5: Solve for x
    x = 435,280.14/684.49
  6. Step 6: Final answer
    x = 635.92

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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.