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Finding the Fourth Proportional to 902.64, 1,346.34 and 875.31

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Solution

The fourth proportional to 902.64, 1,346.34 and 875.31 is: 1,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.64 : 1,346.34 = 875.31 : x
  2. Step 2: Convert to fraction form
    902.64/1,346.34 = 875.31/x
  3. Step 3: Cross multiply
    902.64x = 1,346.34 × 875.31
  4. Step 4: Simplify right side
    902.64x = 1,178,464.87
  5. Step 5: Solve for x
    x = 1,178,464.87/902.64
  6. Step 6: Final answer
    x = 1,305.58

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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.