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Finding the Fourth Proportional to 684.72, 1,025.28 and 575.28

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Solution

The fourth proportional to 684.72, 1,025.28 and 575.28 is: 861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.72 : 1,025.28 = 575.28 : x
  2. Step 2: Convert to fraction form
    684.72/1,025.28 = 575.28/x
  3. Step 3: Cross multiply
    684.72x = 1,025.28 × 575.28
  4. Step 4: Simplify right side
    684.72x = 589,823.08
  5. Step 5: Solve for x
    x = 589,823.08/684.72
  6. Step 6: Final answer
    x = 861.41

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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.