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Finding the Fourth Proportional to 1,418.79, 2,124.81 and 686.01

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Solution

The fourth proportional to 1,418.79, 2,124.81 and 686.01 is: 1,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.79 : 2,124.81 = 686.01 : x
  2. Step 2: Convert to fraction form
    1,418.79/2,124.81 = 686.01/x
  3. Step 3: Cross multiply
    1,418.79x = 2,124.81 × 686.01
  4. Step 4: Simplify right side
    1,418.79x = 1,457,640.91
  5. Step 5: Solve for x
    x = 1,457,640.91/1,418.79
  6. Step 6: Final answer
    x = 1,027.38

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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.