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Finding the Fourth Proportional to 581.70, 802.74 and 385.58

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Solution

The fourth proportional to 581.70, 802.74 and 385.58 is: 532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.70 : 802.74 = 385.58 : x
  2. Step 2: Convert to fraction form
    581.70/802.74 = 385.58/x
  3. Step 3: Cross multiply
    581.70x = 802.74 × 385.58
  4. Step 4: Simplify right side
    581.70x = 309,516.17
  5. Step 5: Solve for x
    x = 309,516.17/581.70
  6. Step 6: Final answer
    x = 532.09

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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.