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Finding the Fourth Proportional to 1,122.83, 1,683.98 and 497.78

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Solution

The fourth proportional to 1,122.83, 1,683.98 and 497.78 is: 746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.83 : 1,683.98 = 497.78 : x
  2. Step 2: Convert to fraction form
    1,122.83/1,683.98 = 497.78/x
  3. Step 3: Cross multiply
    1,122.83x = 1,683.98 × 497.78
  4. Step 4: Simplify right side
    1,122.83x = 838,258.31
  5. Step 5: Solve for x
    x = 838,258.31/1,122.83
  6. Step 6: Final answer
    x = 746.56

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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.