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Finding the Fourth Proportional to 1,667.84, 2,502.16 and 497.79

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Solution

The fourth proportional to 1,667.84, 2,502.16 and 497.79 is: 746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.84 : 2,502.16 = 497.79 : x
  2. Step 2: Convert to fraction form
    1,667.84/2,502.16 = 497.79/x
  3. Step 3: Cross multiply
    1,667.84x = 2,502.16 × 497.79
  4. Step 4: Simplify right side
    1,667.84x = 1,245,548.98
  5. Step 5: Solve for x
    x = 1,245,548.98/1,667.84
  6. Step 6: Final answer
    x = 746.81

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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.