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Finding the Fourth Proportional to 679.90, 937.62 and 469.74

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Solution

The fourth proportional to 679.90, 937.62 and 469.74 is: 647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.90 : 937.62 = 469.74 : x
  2. Step 2: Convert to fraction form
    679.90/937.62 = 469.74/x
  3. Step 3: Cross multiply
    679.90x = 937.62 × 469.74
  4. Step 4: Simplify right side
    679.90x = 440,437.62
  5. Step 5: Solve for x
    x = 440,437.62/679.90
  6. Step 6: Final answer
    x = 647.80

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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.