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Finding the Fourth Proportional to 407.02, 610.52 and 385.96

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Solution

The fourth proportional to 407.02, 610.52 and 385.96 is: 578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.02 : 610.52 = 385.96 : x
  2. Step 2: Convert to fraction form
    407.02/610.52 = 385.96/x
  3. Step 3: Cross multiply
    407.02x = 610.52 × 385.96
  4. Step 4: Simplify right side
    407.02x = 235,636.30
  5. Step 5: Solve for x
    x = 235,636.30/407.02
  6. Step 6: Final answer
    x = 578.93

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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.