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Finding the Fourth Proportional to 581.24, 872.60 and 459.60

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Solution

The fourth proportional to 581.24, 872.60 and 459.60 is: 689.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.24 : 872.60 = 459.60 : x
  2. Step 2: Convert to fraction form
    581.24/872.60 = 459.60/x
  3. Step 3: Cross multiply
    581.24x = 872.60 × 459.60
  4. Step 4: Simplify right side
    581.24x = 401,046.96
  5. Step 5: Solve for x
    x = 401,046.96/581.24
  6. Step 6: Final answer
    x = 689.99

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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.