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Finding the Fourth Proportional to 873.37, 1,310.51 and 386.76

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Solution

The fourth proportional to 873.37, 1,310.51 and 386.76 is: 580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.37 : 1,310.51 = 386.76 : x
  2. Step 2: Convert to fraction form
    873.37/1,310.51 = 386.76/x
  3. Step 3: Cross multiply
    873.37x = 1,310.51 × 386.76
  4. Step 4: Simplify right side
    873.37x = 506,854.19
  5. Step 5: Solve for x
    x = 506,854.19/873.37
  6. Step 6: Final answer
    x = 580.34

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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.