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Finding the Fourth Proportional to 1,202.74, 1,802.67 and 929.86

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Solution

The fourth proportional to 1,202.74, 1,802.67 and 929.86 is: 1,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.74 : 1,802.67 = 929.86 : x
  2. Step 2: Convert to fraction form
    1,202.74/1,802.67 = 929.86/x
  3. Step 3: Cross multiply
    1,202.74x = 1,802.67 × 929.86
  4. Step 4: Simplify right side
    1,202.74x = 1,676,230.73
  5. Step 5: Solve for x
    x = 1,676,230.73/1,202.74
  6. Step 6: Final answer
    x = 1,393.68

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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.