Home / 1,123.80-1,685.70-1,006.35

Finding the Fourth Proportional to 1,123.80, 1,685.70 and 1,006.35

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Solution

The fourth proportional to 1,123.80, 1,685.70 and 1,006.35 is: 1,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.80 : 1,685.70 = 1,006.35 : x
  2. Step 2: Convert to fraction form
    1,123.80/1,685.70 = 1,006.35/x
  3. Step 3: Cross multiply
    1,123.80x = 1,685.70 × 1,006.35
  4. Step 4: Simplify right side
    1,123.80x = 1,696,404.20
  5. Step 5: Solve for x
    x = 1,696,404.20/1,123.80
  6. Step 6: Final answer
    x = 1,509.53

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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.