Home / 1,117.24-1,675.86-683.80

Finding the Fourth Proportional to 1,117.24, 1,675.86 and 683.80

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Solution

The fourth proportional to 1,117.24, 1,675.86 and 683.80 is: 1,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.24 : 1,675.86 = 683.80 : x
  2. Step 2: Convert to fraction form
    1,117.24/1,675.86 = 683.80/x
  3. Step 3: Cross multiply
    1,117.24x = 1,675.86 × 683.80
  4. Step 4: Simplify right side
    1,117.24x = 1,145,953.07
  5. Step 5: Solve for x
    x = 1,145,953.07/1,117.24
  6. Step 6: Final answer
    x = 1,025.70

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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.