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Finding the Fourth Proportional to 1,243.02, 1,860.49 and 657.19

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Solution

The fourth proportional to 1,243.02, 1,860.49 and 657.19 is: 983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.02 : 1,860.49 = 657.19 : x
  2. Step 2: Convert to fraction form
    1,243.02/1,860.49 = 657.19/x
  3. Step 3: Cross multiply
    1,243.02x = 1,860.49 × 657.19
  4. Step 4: Simplify right side
    1,243.02x = 1,222,695.42
  5. Step 5: Solve for x
    x = 1,222,695.42/1,243.02
  6. Step 6: Final answer
    x = 983.65

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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.