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Finding the Fourth Proportional to 1,138.61, 1,707.83 and 674.93

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Solution

The fourth proportional to 1,138.61, 1,707.83 and 674.93 is: 1,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.61 : 1,707.83 = 674.93 : x
  2. Step 2: Convert to fraction form
    1,138.61/1,707.83 = 674.93/x
  3. Step 3: Cross multiply
    1,138.61x = 1,707.83 × 674.93
  4. Step 4: Simplify right side
    1,138.61x = 1,152,672.92
  5. Step 5: Solve for x
    x = 1,152,672.92/1,138.61
  6. Step 6: Final answer
    x = 1,012.35

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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.