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Finding the Fourth Proportional to 564.40, 845.70 and 472.60

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Solution

The fourth proportional to 564.40, 845.70 and 472.60 is: 708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.40 : 845.70 = 472.60 : x
  2. Step 2: Convert to fraction form
    564.40/845.70 = 472.60/x
  3. Step 3: Cross multiply
    564.40x = 845.70 × 472.60
  4. Step 4: Simplify right side
    564.40x = 399,677.82
  5. Step 5: Solve for x
    x = 399,677.82/564.40
  6. Step 6: Final answer
    x = 708.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.