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Finding the Fourth Proportional to 581.82, 803.12 and 360.87

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Solution

The fourth proportional to 581.82, 803.12 and 360.87 is: 498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.82 : 803.12 = 360.87 : x
  2. Step 2: Convert to fraction form
    581.82/803.12 = 360.87/x
  3. Step 3: Cross multiply
    581.82x = 803.12 × 360.87
  4. Step 4: Simplify right side
    581.82x = 289,821.91
  5. Step 5: Solve for x
    x = 289,821.91/581.82
  6. Step 6: Final answer
    x = 498.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.