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Finding the Fourth Proportional to 873.89, 1,310.51 and 353.61

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Solution

The fourth proportional to 873.89, 1,310.51 and 353.61 is: 530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.89 : 1,310.51 = 353.61 : x
  2. Step 2: Convert to fraction form
    873.89/1,310.51 = 353.61/x
  3. Step 3: Cross multiply
    873.89x = 1,310.51 × 353.61
  4. Step 4: Simplify right side
    873.89x = 463,409.44
  5. Step 5: Solve for x
    x = 463,409.44/873.89
  6. Step 6: Final answer
    x = 530.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.