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Finding the Fourth Proportional to 581.66, 802.46 and 360.22

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Solution

The fourth proportional to 581.66, 802.46 and 360.22 is: 496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.66 : 802.46 = 360.22 : x
  2. Step 2: Convert to fraction form
    581.66/802.46 = 360.22/x
  3. Step 3: Cross multiply
    581.66x = 802.46 × 360.22
  4. Step 4: Simplify right side
    581.66x = 289,062.14
  5. Step 5: Solve for x
    x = 289,062.14/581.66
  6. Step 6: Final answer
    x = 496.96

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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.