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Finding the Fourth Proportional to 581.76, 873.18 and 490.59

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Solution

The fourth proportional to 581.76, 873.18 and 490.59 is: 736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 873.18 = 490.59 : x
  2. Step 2: Convert to fraction form
    581.76/873.18 = 490.59/x
  3. Step 3: Cross multiply
    581.76x = 873.18 × 490.59
  4. Step 4: Simplify right side
    581.76x = 428,373.38
  5. Step 5: Solve for x
    x = 428,373.38/581.76
  6. Step 6: Final answer
    x = 736.34

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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.