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Finding the Fourth Proportional to 1,204.69, 1,662.45 and 652.69

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Solution

The fourth proportional to 1,204.69, 1,662.45 and 652.69 is: 900.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.69 : 1,662.45 = 652.69 : x
  2. Step 2: Convert to fraction form
    1,204.69/1,662.45 = 652.69/x
  3. Step 3: Cross multiply
    1,204.69x = 1,662.45 × 652.69
  4. Step 4: Simplify right side
    1,204.69x = 1,085,057.81
  5. Step 5: Solve for x
    x = 1,085,057.81/1,204.69
  6. Step 6: Final answer
    x = 900.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.