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Finding the Fourth Proportional to 927.81, 1,390.19 and 465.12

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Solution

The fourth proportional to 927.81, 1,390.19 and 465.12 is: 696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.81 : 1,390.19 = 465.12 : x
  2. Step 2: Convert to fraction form
    927.81/1,390.19 = 465.12/x
  3. Step 3: Cross multiply
    927.81x = 1,390.19 × 465.12
  4. Step 4: Simplify right side
    927.81x = 646,602.85
  5. Step 5: Solve for x
    x = 646,602.85/927.81
  6. Step 6: Final answer
    x = 696.91

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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.