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Finding the Fourth Proportional to 564.19, 841.32 and 519.31

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Solution

The fourth proportional to 564.19, 841.32 and 519.31 is: 774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.19 : 841.32 = 519.31 : x
  2. Step 2: Convert to fraction form
    564.19/841.32 = 519.31/x
  3. Step 3: Cross multiply
    564.19x = 841.32 × 519.31
  4. Step 4: Simplify right side
    564.19x = 436,905.89
  5. Step 5: Solve for x
    x = 436,905.89/564.19
  6. Step 6: Final answer
    x = 774.39

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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.