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Finding the Fourth Proportional to 564.32, 774.62 and 500.76

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Solution

The fourth proportional to 564.32, 774.62 and 500.76 is: 687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.32 : 774.62 = 500.76 : x
  2. Step 2: Convert to fraction form
    564.32/774.62 = 500.76/x
  3. Step 3: Cross multiply
    564.32x = 774.62 × 500.76
  4. Step 4: Simplify right side
    564.32x = 387,894.84
  5. Step 5: Solve for x
    x = 387,894.84/564.32
  6. Step 6: Final answer
    x = 687.37

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1.5x scale

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.