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Finding the Fourth Proportional to 581.59, 803.06 and 360.91

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Solution

The fourth proportional to 581.59, 803.06 and 360.91 is: 498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.59 : 803.06 = 360.91 : x
  2. Step 2: Convert to fraction form
    581.59/803.06 = 360.91/x
  3. Step 3: Cross multiply
    581.59x = 803.06 × 360.91
  4. Step 4: Simplify right side
    581.59x = 289,832.38
  5. Step 5: Solve for x
    x = 289,832.38/581.59
  6. Step 6: Final answer
    x = 498.34

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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.