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Finding the Fourth Proportional to 1,224.99, 1,688.04 and 1,209.65

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Solution

The fourth proportional to 1,224.99, 1,688.04 and 1,209.65 is: 1,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.99 : 1,688.04 = 1,209.65 : x
  2. Step 2: Convert to fraction form
    1,224.99/1,688.04 = 1,209.65/x
  3. Step 3: Cross multiply
    1,224.99x = 1,688.04 × 1,209.65
  4. Step 4: Simplify right side
    1,224.99x = 2,041,929.15
  5. Step 5: Solve for x
    x = 2,041,929.15/1,224.99
  6. Step 6: Final answer
    x = 1,666.89

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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.