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Finding the Fourth Proportional to 2,705.71, 4,058.57 and 653.71

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Solution

The fourth proportional to 2,705.71, 4,058.57 and 653.71 is: 980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.71 : 4,058.57 = 653.71 : x
  2. Step 2: Convert to fraction form
    2,705.71/4,058.57 = 653.71/x
  3. Step 3: Cross multiply
    2,705.71x = 4,058.57 × 653.71
  4. Step 4: Simplify right side
    2,705.71x = 2,653,127.79
  5. Step 5: Solve for x
    x = 2,653,127.79/2,705.71
  6. Step 6: Final answer
    x = 980.57

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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.