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Finding the Fourth Proportional to 469.96, 647.12 and 426.02

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Solution

The fourth proportional to 469.96, 647.12 and 426.02 is: 586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.96 : 647.12 = 426.02 : x
  2. Step 2: Convert to fraction form
    469.96/647.12 = 426.02/x
  3. Step 3: Cross multiply
    469.96x = 647.12 × 426.02
  4. Step 4: Simplify right side
    469.96x = 275,686.06
  5. Step 5: Solve for x
    x = 275,686.06/469.96
  6. Step 6: Final answer
    x = 586.62

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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.