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Finding the Fourth Proportional to 581.79, 871.83 and 534.06

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Solution

The fourth proportional to 581.79, 871.83 and 534.06 is: 800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.79 : 871.83 = 534.06 : x
  2. Step 2: Convert to fraction form
    581.79/871.83 = 534.06/x
  3. Step 3: Cross multiply
    581.79x = 871.83 × 534.06
  4. Step 4: Simplify right side
    581.79x = 465,609.53
  5. Step 5: Solve for x
    x = 465,609.53/581.79
  6. Step 6: Final answer
    x = 800.31

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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.