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Finding the Fourth Proportional to 983.32, 1,475.54 and 367.45

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Solution

The fourth proportional to 983.32, 1,475.54 and 367.45 is: 551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.32 : 1,475.54 = 367.45 : x
  2. Step 2: Convert to fraction form
    983.32/1,475.54 = 367.45/x
  3. Step 3: Cross multiply
    983.32x = 1,475.54 × 367.45
  4. Step 4: Simplify right side
    983.32x = 542,187.17
  5. Step 5: Solve for x
    x = 542,187.17/983.32
  6. Step 6: Final answer
    x = 551.38

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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.