Home / 1,466.07-2,199.83-686.13

Finding the Fourth Proportional to 1,466.07, 2,199.83 and 686.13

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Solution

The fourth proportional to 1,466.07, 2,199.83 and 686.13 is: 1,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.07 : 2,199.83 = 686.13 : x
  2. Step 2: Convert to fraction form
    1,466.07/2,199.83 = 686.13/x
  3. Step 3: Cross multiply
    1,466.07x = 2,199.83 × 686.13
  4. Step 4: Simplify right side
    1,466.07x = 1,509,369.36
  5. Step 5: Solve for x
    x = 1,509,369.36/1,466.07
  6. Step 6: Final answer
    x = 1,029.53

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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.