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Finding the Fourth Proportional to 931.16, 1,398.47 and 820.01

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Solution

The fourth proportional to 931.16, 1,398.47 and 820.01 is: 1,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.16 : 1,398.47 = 820.01 : x
  2. Step 2: Convert to fraction form
    931.16/1,398.47 = 820.01/x
  3. Step 3: Cross multiply
    931.16x = 1,398.47 × 820.01
  4. Step 4: Simplify right side
    931.16x = 1,146,759.38
  5. Step 5: Solve for x
    x = 1,146,759.38/931.16
  6. Step 6: Final answer
    x = 1,231.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.