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Finding the Fourth Proportional to 621.51, 930.88 and 564.09

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Solution

The fourth proportional to 621.51, 930.88 and 564.09 is: 844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.51 : 930.88 = 564.09 : x
  2. Step 2: Convert to fraction form
    621.51/930.88 = 564.09/x
  3. Step 3: Cross multiply
    621.51x = 930.88 × 564.09
  4. Step 4: Simplify right side
    621.51x = 525,100.10
  5. Step 5: Solve for x
    x = 525,100.10/621.51
  6. Step 6: Final answer
    x = 844.88

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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.