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Finding the Fourth Proportional to 607.72, 838.18 and 421.28

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Solution

The fourth proportional to 607.72, 838.18 and 421.28 is: 581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.72 : 838.18 = 421.28 : x
  2. Step 2: Convert to fraction form
    607.72/838.18 = 421.28/x
  3. Step 3: Cross multiply
    607.72x = 838.18 × 421.28
  4. Step 4: Simplify right side
    607.72x = 353,108.47
  5. Step 5: Solve for x
    x = 353,108.47/607.72
  6. Step 6: Final answer
    x = 581.04

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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.