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Finding the Fourth Proportional to 530.76, 799.24 and 394.76

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Solution

The fourth proportional to 530.76, 799.24 and 394.76 is: 594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 799.24 = 394.76 : x
  2. Step 2: Convert to fraction form
    530.76/799.24 = 394.76/x
  3. Step 3: Cross multiply
    530.76x = 799.24 × 394.76
  4. Step 4: Simplify right side
    530.76x = 315,507.98
  5. Step 5: Solve for x
    x = 315,507.98/530.76
  6. Step 6: Final answer
    x = 594.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.