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Finding the Fourth Proportional to 1,237.90, 1,706.53 and 765.48

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Solution

The fourth proportional to 1,237.90, 1,706.53 and 765.48 is: 1,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.90 : 1,706.53 = 765.48 : x
  2. Step 2: Convert to fraction form
    1,237.90/1,706.53 = 765.48/x
  3. Step 3: Cross multiply
    1,237.90x = 1,706.53 × 765.48
  4. Step 4: Simplify right side
    1,237.90x = 1,306,314.58
  5. Step 5: Solve for x
    x = 1,306,314.58/1,237.90
  6. Step 6: Final answer
    x = 1,055.27

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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.