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Finding the Fourth Proportional to 562.55, 776.13 and 349.70

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Solution

The fourth proportional to 562.55, 776.13 and 349.70 is: 482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.55 : 776.13 = 349.70 : x
  2. Step 2: Convert to fraction form
    562.55/776.13 = 349.70/x
  3. Step 3: Cross multiply
    562.55x = 776.13 × 349.70
  4. Step 4: Simplify right side
    562.55x = 271,412.66
  5. Step 5: Solve for x
    x = 271,412.66/562.55
  6. Step 6: Final answer
    x = 482.47

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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.