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Finding the Fourth Proportional to 873.77, 1,313.69 and 693.41

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Solution

The fourth proportional to 873.77, 1,313.69 and 693.41 is: 1,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.77 : 1,313.69 = 693.41 : x
  2. Step 2: Convert to fraction form
    873.77/1,313.69 = 693.41/x
  3. Step 3: Cross multiply
    873.77x = 1,313.69 × 693.41
  4. Step 4: Simplify right side
    873.77x = 910,915.75
  5. Step 5: Solve for x
    x = 910,915.75/873.77
  6. Step 6: Final answer
    x = 1,042.52

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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.