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Finding the Fourth Proportional to 1,339.65, 1,846.53 and 966.11

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Solution

The fourth proportional to 1,339.65, 1,846.53 and 966.11 is: 1,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.65 : 1,846.53 = 966.11 : x
  2. Step 2: Convert to fraction form
    1,339.65/1,846.53 = 966.11/x
  3. Step 3: Cross multiply
    1,339.65x = 1,846.53 × 966.11
  4. Step 4: Simplify right side
    1,339.65x = 1,783,941.87
  5. Step 5: Solve for x
    x = 1,783,941.87/1,339.65
  6. Step 6: Final answer
    x = 1,331.65

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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.