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Finding the Fourth Proportional to 536.70, 800.78 and 458.81

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Solution

The fourth proportional to 536.70, 800.78 and 458.81 is: 684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.70 : 800.78 = 458.81 : x
  2. Step 2: Convert to fraction form
    536.70/800.78 = 458.81/x
  3. Step 3: Cross multiply
    536.70x = 800.78 × 458.81
  4. Step 4: Simplify right side
    536.70x = 367,399.57
  5. Step 5: Solve for x
    x = 367,399.57/536.70
  6. Step 6: Final answer
    x = 684.55

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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.