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Finding the Fourth Proportional to 873.05, 1,310.38 and 386.51

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Solution

The fourth proportional to 873.05, 1,310.38 and 386.51 is: 580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.05 : 1,310.38 = 386.51 : x
  2. Step 2: Convert to fraction form
    873.05/1,310.38 = 386.51/x
  3. Step 3: Cross multiply
    873.05x = 1,310.38 × 386.51
  4. Step 4: Simplify right side
    873.05x = 506,467.46
  5. Step 5: Solve for x
    x = 506,467.46/873.05
  6. Step 6: Final answer
    x = 580.12

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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.