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Finding the Fourth Proportional to 564.07, 774.27 and 500.51

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Solution

The fourth proportional to 564.07, 774.27 and 500.51 is: 687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.07 : 774.27 = 500.51 : x
  2. Step 2: Convert to fraction form
    564.07/774.27 = 500.51/x
  3. Step 3: Cross multiply
    564.07x = 774.27 × 500.51
  4. Step 4: Simplify right side
    564.07x = 387,529.88
  5. Step 5: Solve for x
    x = 387,529.88/564.07
  6. Step 6: Final answer
    x = 687.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.