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Finding the Fourth Proportional to 434.12, 650.40 and 372.68

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Solution

The fourth proportional to 434.12, 650.40 and 372.68 is: 558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.12 : 650.40 = 372.68 : x
  2. Step 2: Convert to fraction form
    434.12/650.40 = 372.68/x
  3. Step 3: Cross multiply
    434.12x = 650.40 × 372.68
  4. Step 4: Simplify right side
    434.12x = 242,391.07
  5. Step 5: Solve for x
    x = 242,391.07/434.12
  6. Step 6: Final answer
    x = 558.35

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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.