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Finding the Fourth Proportional to 485, 729.12 and 341.72

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Solution

The fourth proportional to 485, 729.12 and 341.72 is: 513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    485 : 729.12 = 341.72 : x
  2. Step 2: Convert to fraction form
    485/729.12 = 341.72/x
  3. Step 3: Cross multiply
    485x = 729.12 × 341.72
  4. Step 4: Simplify right side
    485x = 249,154.89
  5. Step 5: Solve for x
    x = 249,154.89/485
  6. Step 6: Final answer
    x = 513.72

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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.