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Finding the Fourth Proportional to 581.70, 802.40 and 404.82

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Solution

The fourth proportional to 581.70, 802.40 and 404.82 is: 558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.70 : 802.40 = 404.82 : x
  2. Step 2: Convert to fraction form
    581.70/802.40 = 404.82/x
  3. Step 3: Cross multiply
    581.70x = 802.40 × 404.82
  4. Step 4: Simplify right side
    581.70x = 324,827.57
  5. Step 5: Solve for x
    x = 324,827.57/581.70
  6. Step 6: Final answer
    x = 558.41

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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.