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Finding the Fourth Proportional to 536.32, 799.61 and 474.40

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Solution

The fourth proportional to 536.32, 799.61 and 474.40 is: 707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.32 : 799.61 = 474.40 : x
  2. Step 2: Convert to fraction form
    536.32/799.61 = 474.40/x
  3. Step 3: Cross multiply
    536.32x = 799.61 × 474.40
  4. Step 4: Simplify right side
    536.32x = 379,334.98
  5. Step 5: Solve for x
    x = 379,334.98/536.32
  6. Step 6: Final answer
    x = 707.29

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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.