Home / 1,417.63-2,122.17-766.39

Finding the Fourth Proportional to 1,417.63, 2,122.17 and 766.39

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Solution

The fourth proportional to 1,417.63, 2,122.17 and 766.39 is: 1,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.63 : 2,122.17 = 766.39 : x
  2. Step 2: Convert to fraction form
    1,417.63/2,122.17 = 766.39/x
  3. Step 3: Cross multiply
    1,417.63x = 2,122.17 × 766.39
  4. Step 4: Simplify right side
    1,417.63x = 1,626,409.87
  5. Step 5: Solve for x
    x = 1,626,409.87/1,417.63
  6. Step 6: Final answer
    x = 1,147.27

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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.