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Finding the Fourth Proportional to 581.83, 873.17 and 322.05

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Solution

The fourth proportional to 581.83, 873.17 and 322.05 is: 483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.83 : 873.17 = 322.05 : x
  2. Step 2: Convert to fraction form
    581.83/873.17 = 322.05/x
  3. Step 3: Cross multiply
    581.83x = 873.17 × 322.05
  4. Step 4: Simplify right side
    581.83x = 281,205.20
  5. Step 5: Solve for x
    x = 281,205.20/581.83
  6. Step 6: Final answer
    x = 483.31

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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.