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Finding the Fourth Proportional to 964.22, 1,436.38 and 904.46

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Solution

The fourth proportional to 964.22, 1,436.38 and 904.46 is: 1,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.22 : 1,436.38 = 904.46 : x
  2. Step 2: Convert to fraction form
    964.22/1,436.38 = 904.46/x
  3. Step 3: Cross multiply
    964.22x = 1,436.38 × 904.46
  4. Step 4: Simplify right side
    964.22x = 1,299,148.25
  5. Step 5: Solve for x
    x = 1,299,148.25/964.22
  6. Step 6: Final answer
    x = 1,347.36

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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.