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Finding the Fourth Proportional to 1,320.71, 1,990.16 and 1,094.69

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Solution

The fourth proportional to 1,320.71, 1,990.16 and 1,094.69 is: 1,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.71 : 1,990.16 = 1,094.69 : x
  2. Step 2: Convert to fraction form
    1,320.71/1,990.16 = 1,094.69/x
  3. Step 3: Cross multiply
    1,320.71x = 1,990.16 × 1,094.69
  4. Step 4: Simplify right side
    1,320.71x = 2,178,607.75
  5. Step 5: Solve for x
    x = 2,178,607.75/1,320.71
  6. Step 6: Final answer
    x = 1,649.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.