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Finding the Fourth Proportional to 1,393.16, 1,922.54 and 803.70

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Solution

The fourth proportional to 1,393.16, 1,922.54 and 803.70 is: 1,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.16 : 1,922.54 = 803.70 : x
  2. Step 2: Convert to fraction form
    1,393.16/1,922.54 = 803.70/x
  3. Step 3: Cross multiply
    1,393.16x = 1,922.54 × 803.70
  4. Step 4: Simplify right side
    1,393.16x = 1,545,145.40
  5. Step 5: Solve for x
    x = 1,545,145.40/1,393.16
  6. Step 6: Final answer
    x = 1,109.09

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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.