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Finding the Fourth Proportional to 873.83, 1,310.00 and 353.81

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Solution

The fourth proportional to 873.83, 1,310.00 and 353.81 is: 530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.83 : 1,310.00 = 353.81 : x
  2. Step 2: Convert to fraction form
    873.83/1,310.00 = 353.81/x
  3. Step 3: Cross multiply
    873.83x = 1,310.00 × 353.81
  4. Step 4: Simplify right side
    873.83x = 463,489.33
  5. Step 5: Solve for x
    x = 463,489.33/873.83
  6. Step 6: Final answer
    x = 530.41

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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.