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Finding the Fourth Proportional to 581.34, 802.29 and 345.48

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Solution

The fourth proportional to 581.34, 802.29 and 345.48 is: 476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.34 : 802.29 = 345.48 : x
  2. Step 2: Convert to fraction form
    581.34/802.29 = 345.48/x
  3. Step 3: Cross multiply
    581.34x = 802.29 × 345.48
  4. Step 4: Simplify right side
    581.34x = 277,175.15
  5. Step 5: Solve for x
    x = 277,175.15/581.34
  6. Step 6: Final answer
    x = 476.79

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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.