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Finding the Fourth Proportional to 1,617.98, 2,427.95 and 577.90

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Solution

The fourth proportional to 1,617.98, 2,427.95 and 577.90 is: 867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.98 : 2,427.95 = 577.90 : x
  2. Step 2: Convert to fraction form
    1,617.98/2,427.95 = 577.90/x
  3. Step 3: Cross multiply
    1,617.98x = 2,427.95 × 577.90
  4. Step 4: Simplify right side
    1,617.98x = 1,403,112.31
  5. Step 5: Solve for x
    x = 1,403,112.31/1,617.98
  6. Step 6: Final answer
    x = 867.20

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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.