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Finding the Fourth Proportional to 407.08, 614.23 and 389.32

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Solution

The fourth proportional to 407.08, 614.23 and 389.32 is: 587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.08 : 614.23 = 389.32 : x
  2. Step 2: Convert to fraction form
    407.08/614.23 = 389.32/x
  3. Step 3: Cross multiply
    407.08x = 614.23 × 389.32
  4. Step 4: Simplify right side
    407.08x = 239,132.02
  5. Step 5: Solve for x
    x = 239,132.02/407.08
  6. Step 6: Final answer
    x = 587.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.