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Finding the Fourth Proportional to 564.32, 780.40 and 506

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Solution

The fourth proportional to 564.32, 780.40 and 506 is: 699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.32 : 780.40 = 506 : x
  2. Step 2: Convert to fraction form
    564.32/780.40 = 506/x
  3. Step 3: Cross multiply
    564.32x = 780.40 × 506
  4. Step 4: Simplify right side
    564.32x = 394,882.40
  5. Step 5: Solve for x
    x = 394,882.40/564.32
  6. Step 6: Final answer
    x = 699.75

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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.