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Finding the Fourth Proportional to 581.58, 802.61 and 345.80

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Solution

The fourth proportional to 581.58, 802.61 and 345.80 is: 477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.58 : 802.61 = 345.80 : x
  2. Step 2: Convert to fraction form
    581.58/802.61 = 345.80/x
  3. Step 3: Cross multiply
    581.58x = 802.61 × 345.80
  4. Step 4: Simplify right side
    581.58x = 277,536.80
  5. Step 5: Solve for x
    x = 277,536.80/581.58
  6. Step 6: Final answer
    x = 477.21

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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.