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Finding the Fourth Proportional to 581.87, 868.50 and 541.24

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Solution

The fourth proportional to 581.87, 868.50 and 541.24 is: 807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.87 : 868.50 = 541.24 : x
  2. Step 2: Convert to fraction form
    581.87/868.50 = 541.24/x
  3. Step 3: Cross multiply
    581.87x = 868.50 × 541.24
  4. Step 4: Simplify right side
    581.87x = 470,066.94
  5. Step 5: Solve for x
    x = 470,066.94/581.87
  6. Step 6: Final answer
    x = 807.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.