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Finding the Fourth Proportional to 581.44, 802.11 and 424

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Solution

The fourth proportional to 581.44, 802.11 and 424 is: 584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.44 : 802.11 = 424 : x
  2. Step 2: Convert to fraction form
    581.44/802.11 = 424/x
  3. Step 3: Cross multiply
    581.44x = 802.11 × 424
  4. Step 4: Simplify right side
    581.44x = 340,094.64
  5. Step 5: Solve for x
    x = 340,094.64/581.44
  6. Step 6: Final answer
    x = 584.92

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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.