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Finding the Fourth Proportional to 931.78, 1,397.50 and 469.45

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Solution

The fourth proportional to 931.78, 1,397.50 and 469.45 is: 704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.78 : 1,397.50 = 469.45 : x
  2. Step 2: Convert to fraction form
    931.78/1,397.50 = 469.45/x
  3. Step 3: Cross multiply
    931.78x = 1,397.50 × 469.45
  4. Step 4: Simplify right side
    931.78x = 656,056.38
  5. Step 5: Solve for x
    x = 656,056.38/931.78
  6. Step 6: Final answer
    x = 704.09

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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.