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Finding the Fourth Proportional to 801.76, 1,201.53 and 390.07

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Solution

The fourth proportional to 801.76, 1,201.53 and 390.07 is: 584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.76 : 1,201.53 = 390.07 : x
  2. Step 2: Convert to fraction form
    801.76/1,201.53 = 390.07/x
  3. Step 3: Cross multiply
    801.76x = 1,201.53 × 390.07
  4. Step 4: Simplify right side
    801.76x = 468,680.81
  5. Step 5: Solve for x
    x = 468,680.81/801.76
  6. Step 6: Final answer
    x = 584.56

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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.