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Finding the Fourth Proportional to 1,235.73, 1,706.81 and 977.17

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Solution

The fourth proportional to 1,235.73, 1,706.81 and 977.17 is: 1,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.73 : 1,706.81 = 977.17 : x
  2. Step 2: Convert to fraction form
    1,235.73/1,706.81 = 977.17/x
  3. Step 3: Cross multiply
    1,235.73x = 1,706.81 × 977.17
  4. Step 4: Simplify right side
    1,235.73x = 1,667,838.64
  5. Step 5: Solve for x
    x = 1,667,838.64/1,235.73
  6. Step 6: Final answer
    x = 1,349.68

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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.