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Finding the Fourth Proportional to 581.14, 799.56 and 507.63

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Solution

The fourth proportional to 581.14, 799.56 and 507.63 is: 698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.14 : 799.56 = 507.63 : x
  2. Step 2: Convert to fraction form
    581.14/799.56 = 507.63/x
  3. Step 3: Cross multiply
    581.14x = 799.56 × 507.63
  4. Step 4: Simplify right side
    581.14x = 405,880.64
  5. Step 5: Solve for x
    x = 405,880.64/581.14
  6. Step 6: Final answer
    x = 698.42

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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.