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Finding the Fourth Proportional to 581.48, 802.02 and 404.44

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Solution

The fourth proportional to 581.48, 802.02 and 404.44 is: 557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.48 : 802.02 = 404.44 : x
  2. Step 2: Convert to fraction form
    581.48/802.02 = 404.44/x
  3. Step 3: Cross multiply
    581.48x = 802.02 × 404.44
  4. Step 4: Simplify right side
    581.48x = 324,368.97
  5. Step 5: Solve for x
    x = 324,368.97/581.48
  6. Step 6: Final answer
    x = 557.83

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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.