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Finding the Fourth Proportional to 1,661.17, 2,490.40 and 783.25

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Solution

The fourth proportional to 1,661.17, 2,490.40 and 783.25 is: 1,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.17 : 2,490.40 = 783.25 : x
  2. Step 2: Convert to fraction form
    1,661.17/2,490.40 = 783.25/x
  3. Step 3: Cross multiply
    1,661.17x = 2,490.40 × 783.25
  4. Step 4: Simplify right side
    1,661.17x = 1,950,605.80
  5. Step 5: Solve for x
    x = 1,950,605.80/1,661.17
  6. Step 6: Final answer
    x = 1,174.24

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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.