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Finding the Fourth Proportional to 1,207.71, 1,667.35 and 735.78

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Solution

The fourth proportional to 1,207.71, 1,667.35 and 735.78 is: 1,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.71 : 1,667.35 = 735.78 : x
  2. Step 2: Convert to fraction form
    1,207.71/1,667.35 = 735.78/x
  3. Step 3: Cross multiply
    1,207.71x = 1,667.35 × 735.78
  4. Step 4: Simplify right side
    1,207.71x = 1,226,809.96
  5. Step 5: Solve for x
    x = 1,226,809.96/1,207.71
  6. Step 6: Final answer
    x = 1,015.82

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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.