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Finding the Fourth Proportional to 581.16, 871.76 and 494.30

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Solution

The fourth proportional to 581.16, 871.76 and 494.30 is: 741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.16 : 871.76 = 494.30 : x
  2. Step 2: Convert to fraction form
    581.16/871.76 = 494.30/x
  3. Step 3: Cross multiply
    581.16x = 871.76 × 494.30
  4. Step 4: Simplify right side
    581.16x = 430,904.14
  5. Step 5: Solve for x
    x = 430,904.14/581.16
  6. Step 6: Final answer
    x = 741.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.