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Finding the Fourth Proportional to 487.10, 729.77 and 349.40

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Solution

The fourth proportional to 487.10, 729.77 and 349.40 is: 523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.10 : 729.77 = 349.40 : x
  2. Step 2: Convert to fraction form
    487.10/729.77 = 349.40/x
  3. Step 3: Cross multiply
    487.10x = 729.77 × 349.40
  4. Step 4: Simplify right side
    487.10x = 254,976.24
  5. Step 5: Solve for x
    x = 254,976.24/487.10
  6. Step 6: Final answer
    x = 523.46

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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.