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Finding the Fourth Proportional to 586.01, 879.22 and 261.40

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Solution

The fourth proportional to 586.01, 879.22 and 261.40 is: 392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.01 : 879.22 = 261.40 : x
  2. Step 2: Convert to fraction form
    586.01/879.22 = 261.40/x
  3. Step 3: Cross multiply
    586.01x = 879.22 × 261.40
  4. Step 4: Simplify right side
    586.01x = 229,828.11
  5. Step 5: Solve for x
    x = 229,828.11/586.01
  6. Step 6: Final answer
    x = 392.19

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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.