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Finding the Fourth Proportional to 564.80, 850.59 and 497.07

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Solution

The fourth proportional to 564.80, 850.59 and 497.07 is: 748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.80 : 850.59 = 497.07 : x
  2. Step 2: Convert to fraction form
    564.80/850.59 = 497.07/x
  3. Step 3: Cross multiply
    564.80x = 850.59 × 497.07
  4. Step 4: Simplify right side
    564.80x = 422,800.51
  5. Step 5: Solve for x
    x = 422,800.51/564.80
  6. Step 6: Final answer
    x = 748.58

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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.