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Finding the Fourth Proportional to 564.03, 850.53 and 556.32

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Solution

The fourth proportional to 564.03, 850.53 and 556.32 is: 838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.03 : 850.53 = 556.32 : x
  2. Step 2: Convert to fraction form
    564.03/850.53 = 556.32/x
  3. Step 3: Cross multiply
    564.03x = 850.53 × 556.32
  4. Step 4: Simplify right side
    564.03x = 473,166.85
  5. Step 5: Solve for x
    x = 473,166.85/564.03
  6. Step 6: Final answer
    x = 838.90

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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.