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Finding the Fourth Proportional to 1,497.82, 2,065.17 and 1,217.26

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Solution

The fourth proportional to 1,497.82, 2,065.17 and 1,217.26 is: 1,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.82 : 2,065.17 = 1,217.26 : x
  2. Step 2: Convert to fraction form
    1,497.82/2,065.17 = 1,217.26/x
  3. Step 3: Cross multiply
    1,497.82x = 2,065.17 × 1,217.26
  4. Step 4: Simplify right side
    1,497.82x = 2,513,848.83
  5. Step 5: Solve for x
    x = 2,513,848.83/1,497.82
  6. Step 6: Final answer
    x = 1,678.34

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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.