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Finding the Fourth Proportional to 803, 1,202.56 and 391.12

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Solution

The fourth proportional to 803, 1,202.56 and 391.12 is: 585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    803 : 1,202.56 = 391.12 : x
  2. Step 2: Convert to fraction form
    803/1,202.56 = 391.12/x
  3. Step 3: Cross multiply
    803x = 1,202.56 × 391.12
  4. Step 4: Simplify right side
    803x = 470,345.27
  5. Step 5: Solve for x
    x = 470,345.27/803
  6. Step 6: Final answer
    x = 585.74

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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.