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Finding the Fourth Proportional to 581.89, 803.17 and 360.72

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Solution

The fourth proportional to 581.89, 803.17 and 360.72 is: 497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.89 : 803.17 = 360.72 : x
  2. Step 2: Convert to fraction form
    581.89/803.17 = 360.72/x
  3. Step 3: Cross multiply
    581.89x = 803.17 × 360.72
  4. Step 4: Simplify right side
    581.89x = 289,719.48
  5. Step 5: Solve for x
    x = 289,719.48/581.89
  6. Step 6: Final answer
    x = 497.89

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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.