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Finding the Fourth Proportional to 617.61, 851.27 and 469.99

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Solution

The fourth proportional to 617.61, 851.27 and 469.99 is: 647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.61 : 851.27 = 469.99 : x
  2. Step 2: Convert to fraction form
    617.61/851.27 = 469.99/x
  3. Step 3: Cross multiply
    617.61x = 851.27 × 469.99
  4. Step 4: Simplify right side
    617.61x = 400,088.39
  5. Step 5: Solve for x
    x = 400,088.39/617.61
  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.