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Finding the Fourth Proportional to 1,351.35, 1,864.85 and 761.88

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Solution

The fourth proportional to 1,351.35, 1,864.85 and 761.88 is: 1,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.35 : 1,864.85 = 761.88 : x
  2. Step 2: Convert to fraction form
    1,351.35/1,864.85 = 761.88/x
  3. Step 3: Cross multiply
    1,351.35x = 1,864.85 × 761.88
  4. Step 4: Simplify right side
    1,351.35x = 1,420,788.11
  5. Step 5: Solve for x
    x = 1,420,788.11/1,351.35
  6. Step 6: Final answer
    x = 1,051.38

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1.5x scale

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.