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Finding the Fourth Proportional to 581.32, 802.22 and 348.45

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Solution

The fourth proportional to 581.32, 802.22 and 348.45 is: 480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.32 : 802.22 = 348.45 : x
  2. Step 2: Convert to fraction form
    581.32/802.22 = 348.45/x
  3. Step 3: Cross multiply
    581.32x = 802.22 × 348.45
  4. Step 4: Simplify right side
    581.32x = 279,527.81
  5. Step 5: Solve for x
    x = 279,527.81/581.32
  6. Step 6: Final answer
    x = 480.85

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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.