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Finding the Fourth Proportional to 650.42, 973.23 and 390.58

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Solution

The fourth proportional to 650.42, 973.23 and 390.58 is: 584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.42 : 973.23 = 390.58 : x
  2. Step 2: Convert to fraction form
    650.42/973.23 = 390.58/x
  3. Step 3: Cross multiply
    650.42x = 973.23 × 390.58
  4. Step 4: Simplify right side
    650.42x = 380,120.28
  5. Step 5: Solve for x
    x = 380,120.28/650.42
  6. Step 6: Final answer
    x = 584.42

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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.