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Finding the Fourth Proportional to 581.59, 871.58 and 427.60

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Solution

The fourth proportional to 581.59, 871.58 and 427.60 is: 640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.59 : 871.58 = 427.60 : x
  2. Step 2: Convert to fraction form
    581.59/871.58 = 427.60/x
  3. Step 3: Cross multiply
    581.59x = 871.58 × 427.60
  4. Step 4: Simplify right side
    581.59x = 372,681.11
  5. Step 5: Solve for x
    x = 372,681.11/581.59
  6. Step 6: Final answer
    x = 640.80

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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.