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Finding the Fourth Proportional to 581.94, 802.80 and 385.32

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Solution

The fourth proportional to 581.94, 802.80 and 385.32 is: 531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.94 : 802.80 = 385.32 : x
  2. Step 2: Convert to fraction form
    581.94/802.80 = 385.32/x
  3. Step 3: Cross multiply
    581.94x = 802.80 × 385.32
  4. Step 4: Simplify right side
    581.94x = 309,334.90
  5. Step 5: Solve for x
    x = 309,334.90/581.94
  6. Step 6: Final answer
    x = 531.56

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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.