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Finding the Fourth Proportional to 902.64, 1,345.08 and 873.24

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Solution

The fourth proportional to 902.64, 1,345.08 and 873.24 is: 1,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.64 : 1,345.08 = 873.24 : x
  2. Step 2: Convert to fraction form
    902.64/1,345.08 = 873.24/x
  3. Step 3: Cross multiply
    902.64x = 1,345.08 × 873.24
  4. Step 4: Simplify right side
    902.64x = 1,174,577.66
  5. Step 5: Solve for x
    x = 1,174,577.66/902.64
  6. Step 6: Final answer
    x = 1,301.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.