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Finding the Fourth Proportional to 586.32, 879.82 and 541.22

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Solution

The fourth proportional to 586.32, 879.82 and 541.22 is: 812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.32 : 879.82 = 541.22 : x
  2. Step 2: Convert to fraction form
    586.32/879.82 = 541.22/x
  3. Step 3: Cross multiply
    586.32x = 879.82 × 541.22
  4. Step 4: Simplify right side
    586.32x = 476,176.18
  5. Step 5: Solve for x
    x = 476,176.18/586.32
  6. Step 6: Final answer
    x = 812.14

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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.