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Finding the Fourth Proportional to 873.43, 1,310.60 and 386.81

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Solution

The fourth proportional to 873.43, 1,310.60 and 386.81 is: 580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.43 : 1,310.60 = 386.81 : x
  2. Step 2: Convert to fraction form
    873.43/1,310.60 = 386.81/x
  3. Step 3: Cross multiply
    873.43x = 1,310.60 × 386.81
  4. Step 4: Simplify right side
    873.43x = 506,953.19
  5. Step 5: Solve for x
    x = 506,953.19/873.43
  6. Step 6: Final answer
    x = 580.42

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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.