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Finding the Fourth Proportional to 580.51, 802.16 and 422.87

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Solution

The fourth proportional to 580.51, 802.16 and 422.87 is: 584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.51 : 802.16 = 422.87 : x
  2. Step 2: Convert to fraction form
    580.51/802.16 = 422.87/x
  3. Step 3: Cross multiply
    580.51x = 802.16 × 422.87
  4. Step 4: Simplify right side
    580.51x = 339,208.45
  5. Step 5: Solve for x
    x = 339,208.45/580.51
  6. Step 6: Final answer
    x = 584.33

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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.