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Finding the Fourth Proportional to 731.42, 1,097.57 and 384.94

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Solution

The fourth proportional to 731.42, 1,097.57 and 384.94 is: 577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.42 : 1,097.57 = 384.94 : x
  2. Step 2: Convert to fraction form
    731.42/1,097.57 = 384.94/x
  3. Step 3: Cross multiply
    731.42x = 1,097.57 × 384.94
  4. Step 4: Simplify right side
    731.42x = 422,498.60
  5. Step 5: Solve for x
    x = 422,498.60/731.42
  6. Step 6: Final answer
    x = 577.64

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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.