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Finding the Fourth Proportional to 581.88, 873.18 and 427.43

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Solution

The fourth proportional to 581.88, 873.18 and 427.43 is: 641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.88 : 873.18 = 427.43 : x
  2. Step 2: Convert to fraction form
    581.88/873.18 = 427.43/x
  3. Step 3: Cross multiply
    581.88x = 873.18 × 427.43
  4. Step 4: Simplify right side
    581.88x = 373,218.96
  5. Step 5: Solve for x
    x = 373,218.96/581.88
  6. Step 6: Final answer
    x = 641.40

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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.