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Finding the Fourth Proportional to 1,394.55, 1,924.50 and 765.09

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Solution

The fourth proportional to 1,394.55, 1,924.50 and 765.09 is: 1,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.55 : 1,924.50 = 765.09 : x
  2. Step 2: Convert to fraction form
    1,394.55/1,924.50 = 765.09/x
  3. Step 3: Cross multiply
    1,394.55x = 1,924.50 × 765.09
  4. Step 4: Simplify right side
    1,394.55x = 1,472,415.71
  5. Step 5: Solve for x
    x = 1,472,415.71/1,394.55
  6. Step 6: Final answer
    x = 1,055.84

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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.