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Finding the Fourth Proportional to 469.72, 706.86 and 424.96

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Solution

The fourth proportional to 469.72, 706.86 and 424.96 is: 639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.72 : 706.86 = 424.96 : x
  2. Step 2: Convert to fraction form
    469.72/706.86 = 424.96/x
  3. Step 3: Cross multiply
    469.72x = 706.86 × 424.96
  4. Step 4: Simplify right side
    469.72x = 300,387.23
  5. Step 5: Solve for x
    x = 300,387.23/469.72
  6. Step 6: Final answer
    x = 639.50

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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.