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Finding the Fourth Proportional to 581.73, 870.44 and 428.10

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Solution

The fourth proportional to 581.73, 870.44 and 428.10 is: 640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.73 : 870.44 = 428.10 : x
  2. Step 2: Convert to fraction form
    581.73/870.44 = 428.10/x
  3. Step 3: Cross multiply
    581.73x = 870.44 × 428.10
  4. Step 4: Simplify right side
    581.73x = 372,633.22
  5. Step 5: Solve for x
    x = 372,633.22/581.73
  6. Step 6: Final answer
    x = 640.56

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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.