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Finding the Fourth Proportional to 656.82, 905.49 and 469.98

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Solution

The fourth proportional to 656.82, 905.49 and 469.98 is: 647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.82 : 905.49 = 469.98 : x
  2. Step 2: Convert to fraction form
    656.82/905.49 = 469.98/x
  3. Step 3: Cross multiply
    656.82x = 905.49 × 469.98
  4. Step 4: Simplify right side
    656.82x = 425,562.19
  5. Step 5: Solve for x
    x = 425,562.19/656.82
  6. Step 6: Final answer
    x = 647.91

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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.