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Finding the Fourth Proportional to 931.86, 1,404.63 and 874.62

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Solution

The fourth proportional to 931.86, 1,404.63 and 874.62 is: 1,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.86 : 1,404.63 = 874.62 : x
  2. Step 2: Convert to fraction form
    931.86/1,404.63 = 874.62/x
  3. Step 3: Cross multiply
    931.86x = 1,404.63 × 874.62
  4. Step 4: Simplify right side
    931.86x = 1,228,517.49
  5. Step 5: Solve for x
    x = 1,228,517.49/931.86
  6. Step 6: Final answer
    x = 1,318.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.