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Finding the Fourth Proportional to 564.98, 780.10 and 391.10

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Solution

The fourth proportional to 564.98, 780.10 and 391.10 is: 540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.98 : 780.10 = 391.10 : x
  2. Step 2: Convert to fraction form
    564.98/780.10 = 391.10/x
  3. Step 3: Cross multiply
    564.98x = 780.10 × 391.10
  4. Step 4: Simplify right side
    564.98x = 305,092.23
  5. Step 5: Solve for x
    x = 305,092.23/564.98
  6. Step 6: Final answer
    x = 540.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.