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Finding the Fourth Proportional to 536.79, 800.84 and 478.35

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Solution

The fourth proportional to 536.79, 800.84 and 478.35 is: 713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.79 : 800.84 = 478.35 : x
  2. Step 2: Convert to fraction form
    536.79/800.84 = 478.35/x
  3. Step 3: Cross multiply
    536.79x = 800.84 × 478.35
  4. Step 4: Simplify right side
    536.79x = 383,081.81
  5. Step 5: Solve for x
    x = 383,081.81/536.79
  6. Step 6: Final answer
    x = 713.65

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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.