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Finding the Fourth Proportional to 602, 830.84 and 395.12

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Solution

The fourth proportional to 602, 830.84 and 395.12 is: 545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    602 : 830.84 = 395.12 : x
  2. Step 2: Convert to fraction form
    602/830.84 = 395.12/x
  3. Step 3: Cross multiply
    602x = 830.84 × 395.12
  4. Step 4: Simplify right side
    602x = 328,281.50
  5. Step 5: Solve for x
    x = 328,281.50/602
  6. Step 6: Final answer
    x = 545.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.