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Finding the Fourth Proportional to 581.40, 800.55 and 492.30

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Solution

The fourth proportional to 581.40, 800.55 and 492.30 is: 677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.40 : 800.55 = 492.30 : x
  2. Step 2: Convert to fraction form
    581.40/800.55 = 492.30/x
  3. Step 3: Cross multiply
    581.40x = 800.55 × 492.30
  4. Step 4: Simplify right side
    581.40x = 394,110.77
  5. Step 5: Solve for x
    x = 394,110.77/581.40
  6. Step 6: Final answer
    x = 677.87

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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.