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Finding the Fourth Proportional to 387.79, 583.63 and 350.05

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Solution

The fourth proportional to 387.79, 583.63 and 350.05 is: 526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.79 : 583.63 = 350.05 : x
  2. Step 2: Convert to fraction form
    387.79/583.63 = 350.05/x
  3. Step 3: Cross multiply
    387.79x = 583.63 × 350.05
  4. Step 4: Simplify right side
    387.79x = 204,299.68
  5. Step 5: Solve for x
    x = 204,299.68/387.79
  6. Step 6: Final answer
    x = 526.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.