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Finding the Fourth Proportional to 469.12, 703.76 and 276.52

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Solution

The fourth proportional to 469.12, 703.76 and 276.52 is: 414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.12 : 703.76 = 276.52 : x
  2. Step 2: Convert to fraction form
    469.12/703.76 = 276.52/x
  3. Step 3: Cross multiply
    469.12x = 703.76 × 276.52
  4. Step 4: Simplify right side
    469.12x = 194,603.72
  5. Step 5: Solve for x
    x = 194,603.72/469.12
  6. Step 6: Final answer
    x = 414.83

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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.