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Finding the Fourth Proportional to 581.70, 802.64 and 385.14

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Solution

The fourth proportional to 581.70, 802.64 and 385.14 is: 531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.70 : 802.64 = 385.14 : x
  2. Step 2: Convert to fraction form
    581.70/802.64 = 385.14/x
  3. Step 3: Cross multiply
    581.70x = 802.64 × 385.14
  4. Step 4: Simplify right side
    581.70x = 309,128.77
  5. Step 5: Solve for x
    x = 309,128.77/581.70
  6. Step 6: Final answer
    x = 531.42

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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.