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Finding the Fourth Proportional to 514.48, 709.23 and 339.52

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Solution

The fourth proportional to 514.48, 709.23 and 339.52 is: 468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.48 : 709.23 = 339.52 : x
  2. Step 2: Convert to fraction form
    514.48/709.23 = 339.52/x
  3. Step 3: Cross multiply
    514.48x = 709.23 × 339.52
  4. Step 4: Simplify right side
    514.48x = 240,797.77
  5. Step 5: Solve for x
    x = 240,797.77/514.48
  6. Step 6: Final answer
    x = 468.04

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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.