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Finding the Fourth Proportional to 1,298.54, 1,792.02 and 731.42

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Solution

The fourth proportional to 1,298.54, 1,792.02 and 731.42 is: 1,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.54 : 1,792.02 = 731.42 : x
  2. Step 2: Convert to fraction form
    1,298.54/1,792.02 = 731.42/x
  3. Step 3: Cross multiply
    1,298.54x = 1,792.02 × 731.42
  4. Step 4: Simplify right side
    1,298.54x = 1,310,719.27
  5. Step 5: Solve for x
    x = 1,310,719.27/1,298.54
  6. Step 6: Final answer
    x = 1,009.38

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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.