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Finding the Fourth Proportional to 1,403.65, 1,941.87 and 1,229.50

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Solution

The fourth proportional to 1,403.65, 1,941.87 and 1,229.50 is: 1,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.65 : 1,941.87 = 1,229.50 : x
  2. Step 2: Convert to fraction form
    1,403.65/1,941.87 = 1,229.50/x
  3. Step 3: Cross multiply
    1,403.65x = 1,941.87 × 1,229.50
  4. Step 4: Simplify right side
    1,403.65x = 2,387,529.17
  5. Step 5: Solve for x
    x = 2,387,529.17/1,403.65
  6. Step 6: Final answer
    x = 1,700.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.