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Finding the Fourth Proportional to 977.92, 1,349.32 and 605.32

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Solution

The fourth proportional to 977.92, 1,349.32 and 605.32 is: 835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.92 : 1,349.32 = 605.32 : x
  2. Step 2: Convert to fraction form
    977.92/1,349.32 = 605.32/x
  3. Step 3: Cross multiply
    977.92x = 1,349.32 × 605.32
  4. Step 4: Simplify right side
    977.92x = 816,770.38
  5. Step 5: Solve for x
    x = 816,770.38/977.92
  6. Step 6: Final answer
    x = 835.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.