Home / 1,417.35-2,124.54-686.46

Finding the Fourth Proportional to 1,417.35, 2,124.54 and 686.46

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Solution

The fourth proportional to 1,417.35, 2,124.54 and 686.46 is: 1,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.35 : 2,124.54 = 686.46 : x
  2. Step 2: Convert to fraction form
    1,417.35/2,124.54 = 686.46/x
  3. Step 3: Cross multiply
    1,417.35x = 2,124.54 × 686.46
  4. Step 4: Simplify right side
    1,417.35x = 1,458,411.73
  5. Step 5: Solve for x
    x = 1,458,411.73/1,417.35
  6. Step 6: Final answer
    x = 1,028.97

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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.