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Finding the Fourth Proportional to 581.74, 802.09 and 404.85

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Solution

The fourth proportional to 581.74, 802.09 and 404.85 is: 558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.74 : 802.09 = 404.85 : x
  2. Step 2: Convert to fraction form
    581.74/802.09 = 404.85/x
  3. Step 3: Cross multiply
    581.74x = 802.09 × 404.85
  4. Step 4: Simplify right side
    581.74x = 324,726.14
  5. Step 5: Solve for x
    x = 324,726.14/581.74
  6. Step 6: Final answer
    x = 558.20

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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.