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Finding the Fourth Proportional to 620.42, 928.49 and 465.98

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Solution

The fourth proportional to 620.42, 928.49 and 465.98 is: 697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.42 : 928.49 = 465.98 : x
  2. Step 2: Convert to fraction form
    620.42/928.49 = 465.98/x
  3. Step 3: Cross multiply
    620.42x = 928.49 × 465.98
  4. Step 4: Simplify right side
    620.42x = 432,650.80
  5. Step 5: Solve for x
    x = 432,650.80/620.42
  6. Step 6: Final answer
    x = 697.36

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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.