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Finding the Fourth Proportional to 1,320.91, 1,823.11 and 761.74

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Solution

The fourth proportional to 1,320.91, 1,823.11 and 761.74 is: 1,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.91 : 1,823.11 = 761.74 : x
  2. Step 2: Convert to fraction form
    1,320.91/1,823.11 = 761.74/x
  3. Step 3: Cross multiply
    1,320.91x = 1,823.11 × 761.74
  4. Step 4: Simplify right side
    1,320.91x = 1,388,729.35
  5. Step 5: Solve for x
    x = 1,388,729.35/1,320.91
  6. Step 6: Final answer
    x = 1,051.34

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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.