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Finding the Fourth Proportional to 390.83, 583.47 and 332.43

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Solution

The fourth proportional to 390.83, 583.47 and 332.43 is: 496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.83 : 583.47 = 332.43 : x
  2. Step 2: Convert to fraction form
    390.83/583.47 = 332.43/x
  3. Step 3: Cross multiply
    390.83x = 583.47 × 332.43
  4. Step 4: Simplify right side
    390.83x = 193,962.93
  5. Step 5: Solve for x
    x = 193,962.93/390.83
  6. Step 6: Final answer
    x = 496.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.