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Finding the Fourth Proportional to 564.90, 783.09 and 554.79

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Solution

The fourth proportional to 564.90, 783.09 and 554.79 is: 769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.90 : 783.09 = 554.79 : x
  2. Step 2: Convert to fraction form
    564.90/783.09 = 554.79/x
  3. Step 3: Cross multiply
    564.90x = 783.09 × 554.79
  4. Step 4: Simplify right side
    564.90x = 434,450.50
  5. Step 5: Solve for x
    x = 434,450.50/564.90
  6. Step 6: Final answer
    x = 769.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.