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Finding the Fourth Proportional to 581.28, 802 and 450.06

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Solution

The fourth proportional to 581.28, 802 and 450.06 is: 620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.28 : 802 = 450.06 : x
  2. Step 2: Convert to fraction form
    581.28/802 = 450.06/x
  3. Step 3: Cross multiply
    581.28x = 802 × 450.06
  4. Step 4: Simplify right side
    581.28x = 360,948.12
  5. Step 5: Solve for x
    x = 360,948.12/581.28
  6. Step 6: Final answer
    x = 620.95

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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.