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Finding the Fourth Proportional to 581.76, 802.96 and 395.56

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Solution

The fourth proportional to 581.76, 802.96 and 395.56 is: 545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 802.96 = 395.56 : x
  2. Step 2: Convert to fraction form
    581.76/802.96 = 395.56/x
  3. Step 3: Cross multiply
    581.76x = 802.96 × 395.56
  4. Step 4: Simplify right side
    581.76x = 317,618.86
  5. Step 5: Solve for x
    x = 317,618.86/581.76
  6. Step 6: Final answer
    x = 545.96

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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.