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Finding the Fourth Proportional to 536.80, 801.56 and 464.80

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Solution

The fourth proportional to 536.80, 801.56 and 464.80 is: 694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.80 : 801.56 = 464.80 : x
  2. Step 2: Convert to fraction form
    536.80/801.56 = 464.80/x
  3. Step 3: Cross multiply
    536.80x = 801.56 × 464.80
  4. Step 4: Simplify right side
    536.80x = 372,565.09
  5. Step 5: Solve for x
    x = 372,565.09/536.80
  6. Step 6: Final answer
    x = 694.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.