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Finding the Fourth Proportional to 581.22, 802.18 and 406.44

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Solution

The fourth proportional to 581.22, 802.18 and 406.44 is: 560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.22 : 802.18 = 406.44 : x
  2. Step 2: Convert to fraction form
    581.22/802.18 = 406.44/x
  3. Step 3: Cross multiply
    581.22x = 802.18 × 406.44
  4. Step 4: Simplify right side
    581.22x = 326,038.04
  5. Step 5: Solve for x
    x = 326,038.04/581.22
  6. Step 6: Final answer
    x = 560.95

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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.