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Finding the Fourth Proportional to 1,207.29, 1,666.24 and 765.23

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Solution

The fourth proportional to 1,207.29, 1,666.24 and 765.23 is: 1,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.29 : 1,666.24 = 765.23 : x
  2. Step 2: Convert to fraction form
    1,207.29/1,666.24 = 765.23/x
  3. Step 3: Cross multiply
    1,207.29x = 1,666.24 × 765.23
  4. Step 4: Simplify right side
    1,207.29x = 1,275,056.84
  5. Step 5: Solve for x
    x = 1,275,056.84/1,207.29
  6. Step 6: Final answer
    x = 1,056.13

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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.