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Finding the Fourth Proportional to 564.60, 851.73 and 535.80

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Solution

The fourth proportional to 564.60, 851.73 and 535.80 is: 808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.60 : 851.73 = 535.80 : x
  2. Step 2: Convert to fraction form
    564.60/851.73 = 535.80/x
  3. Step 3: Cross multiply
    564.60x = 851.73 × 535.80
  4. Step 4: Simplify right side
    564.60x = 456,356.93
  5. Step 5: Solve for x
    x = 456,356.93/564.60
  6. Step 6: Final answer
    x = 808.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.