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Finding the Fourth Proportional to 611.16, 920.12 and 420.04

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Solution

The fourth proportional to 611.16, 920.12 and 420.04 is: 632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.16 : 920.12 = 420.04 : x
  2. Step 2: Convert to fraction form
    611.16/920.12 = 420.04/x
  3. Step 3: Cross multiply
    611.16x = 920.12 × 420.04
  4. Step 4: Simplify right side
    611.16x = 386,487.20
  5. Step 5: Solve for x
    x = 386,487.20/611.16
  6. Step 6: Final answer
    x = 632.38

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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.