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Finding the Fourth Proportional to 435.52, 650.24 and 374.40

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Solution

The fourth proportional to 435.52, 650.24 and 374.40 is: 558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.52 : 650.24 = 374.40 : x
  2. Step 2: Convert to fraction form
    435.52/650.24 = 374.40/x
  3. Step 3: Cross multiply
    435.52x = 650.24 × 374.40
  4. Step 4: Simplify right side
    435.52x = 243,449.86
  5. Step 5: Solve for x
    x = 243,449.86/435.52
  6. Step 6: Final answer
    x = 558.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.