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Finding the Fourth Proportional to 684.04, 1,025.10 and 375.52

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Solution

The fourth proportional to 684.04, 1,025.10 and 375.52 is: 562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.04 : 1,025.10 = 375.52 : x
  2. Step 2: Convert to fraction form
    684.04/1,025.10 = 375.52/x
  3. Step 3: Cross multiply
    684.04x = 1,025.10 × 375.52
  4. Step 4: Simplify right side
    684.04x = 384,945.55
  5. Step 5: Solve for x
    x = 384,945.55/684.04
  6. Step 6: Final answer
    x = 562.75

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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.