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Finding the Fourth Proportional to 581.56, 870.90 and 398.44

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Solution

The fourth proportional to 581.56, 870.90 and 398.44 is: 596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.56 : 870.90 = 398.44 : x
  2. Step 2: Convert to fraction form
    581.56/870.90 = 398.44/x
  3. Step 3: Cross multiply
    581.56x = 870.90 × 398.44
  4. Step 4: Simplify right side
    581.56x = 347,001.40
  5. Step 5: Solve for x
    x = 347,001.40/581.56
  6. Step 6: Final answer
    x = 596.67

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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.