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Finding the Fourth Proportional to 1,239.58, 1,857.40 and 654.56

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Solution

The fourth proportional to 1,239.58, 1,857.40 and 654.56 is: 980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.58 : 1,857.40 = 654.56 : x
  2. Step 2: Convert to fraction form
    1,239.58/1,857.40 = 654.56/x
  3. Step 3: Cross multiply
    1,239.58x = 1,857.40 × 654.56
  4. Step 4: Simplify right side
    1,239.58x = 1,215,776.47
  5. Step 5: Solve for x
    x = 1,215,776.47/1,239.58
  6. Step 6: Final answer
    x = 980.80

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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.