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Finding the Fourth Proportional to 873.62, 1,310.69 and 353.36

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Solution

The fourth proportional to 873.62, 1,310.69 and 353.36 is: 530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.62 : 1,310.69 = 353.36 : x
  2. Step 2: Convert to fraction form
    873.62/1,310.69 = 353.36/x
  3. Step 3: Cross multiply
    873.62x = 1,310.69 × 353.36
  4. Step 4: Simplify right side
    873.62x = 463,137.10
  5. Step 5: Solve for x
    x = 463,137.10/873.62
  6. Step 6: Final answer
    x = 530.14

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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.