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Finding the Fourth Proportional to 626.01, 935.70 and 564.18

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Solution

The fourth proportional to 626.01, 935.70 and 564.18 is: 843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.01 : 935.70 = 564.18 : x
  2. Step 2: Convert to fraction form
    626.01/935.70 = 564.18/x
  3. Step 3: Cross multiply
    626.01x = 935.70 × 564.18
  4. Step 4: Simplify right side
    626.01x = 527,903.23
  5. Step 5: Solve for x
    x = 527,903.23/626.01
  6. Step 6: Final answer
    x = 843.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.