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Finding the Fourth Proportional to 536.78, 803.64 and 400.46

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Solution

The fourth proportional to 536.78, 803.64 and 400.46 is: 599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.78 : 803.64 = 400.46 : x
  2. Step 2: Convert to fraction form
    536.78/803.64 = 400.46/x
  3. Step 3: Cross multiply
    536.78x = 803.64 × 400.46
  4. Step 4: Simplify right side
    536.78x = 321,825.67
  5. Step 5: Solve for x
    x = 321,825.67/536.78
  6. Step 6: Final answer
    x = 599.55

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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.