Home / 1,069.20-1,603.80-686.16

Finding the Fourth Proportional to 1,069.20, 1,603.80 and 686.16

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Solution

The fourth proportional to 1,069.20, 1,603.80 and 686.16 is: 1,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.20 : 1,603.80 = 686.16 : x
  2. Step 2: Convert to fraction form
    1,069.20/1,603.80 = 686.16/x
  3. Step 3: Cross multiply
    1,069.20x = 1,603.80 × 686.16
  4. Step 4: Simplify right side
    1,069.20x = 1,100,463.41
  5. Step 5: Solve for x
    x = 1,100,463.41/1,069.20
  6. Step 6: Final answer
    x = 1,029.24

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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.