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Finding the Fourth Proportional to 802.56, 1,202.22 and 417

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Solution

The fourth proportional to 802.56, 1,202.22 and 417 is: 624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.56 : 1,202.22 = 417 : x
  2. Step 2: Convert to fraction form
    802.56/1,202.22 = 417/x
  3. Step 3: Cross multiply
    802.56x = 1,202.22 × 417
  4. Step 4: Simplify right side
    802.56x = 501,325.74
  5. Step 5: Solve for x
    x = 501,325.74/802.56
  6. Step 6: Final answer
    x = 624.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.