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Finding the Fourth Proportional to 586.40, 879.90 and 261.69

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Solution

The fourth proportional to 586.40, 879.90 and 261.69 is: 392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.40 : 879.90 = 261.69 : x
  2. Step 2: Convert to fraction form
    586.40/879.90 = 261.69/x
  3. Step 3: Cross multiply
    586.40x = 879.90 × 261.69
  4. Step 4: Simplify right side
    586.40x = 230,261.03
  5. Step 5: Solve for x
    x = 230,261.03/586.40
  6. Step 6: Final answer
    x = 392.67

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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.