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Finding the Fourth Proportional to 562.30, 775.51 and 365.47

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Solution

The fourth proportional to 562.30, 775.51 and 365.47 is: 504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.30 : 775.51 = 365.47 : x
  2. Step 2: Convert to fraction form
    562.30/775.51 = 365.47/x
  3. Step 3: Cross multiply
    562.30x = 775.51 × 365.47
  4. Step 4: Simplify right side
    562.30x = 283,425.64
  5. Step 5: Solve for x
    x = 283,425.64/562.30
  6. Step 6: Final answer
    x = 504.05

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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.