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Finding the Fourth Proportional to 514.44, 709.88 and 348.40

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Solution

The fourth proportional to 514.44, 709.88 and 348.40 is: 480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.44 : 709.88 = 348.40 : x
  2. Step 2: Convert to fraction form
    514.44/709.88 = 348.40/x
  3. Step 3: Cross multiply
    514.44x = 709.88 × 348.40
  4. Step 4: Simplify right side
    514.44x = 247,322.19
  5. Step 5: Solve for x
    x = 247,322.19/514.44
  6. Step 6: Final answer
    x = 480.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.