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Finding the Fourth Proportional to 873.34, 1,308.49 and 728.02

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Solution

The fourth proportional to 873.34, 1,308.49 and 728.02 is: 1,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.34 : 1,308.49 = 728.02 : x
  2. Step 2: Convert to fraction form
    873.34/1,308.49 = 728.02/x
  3. Step 3: Cross multiply
    873.34x = 1,308.49 × 728.02
  4. Step 4: Simplify right side
    873.34x = 952,606.71
  5. Step 5: Solve for x
    x = 952,606.71/873.34
  6. Step 6: Final answer
    x = 1,090.77

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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.