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Finding the Fourth Proportional to 581.54, 802.57 and 319.61

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Solution

The fourth proportional to 581.54, 802.57 and 319.61 is: 441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.54 : 802.57 = 319.61 : x
  2. Step 2: Convert to fraction form
    581.54/802.57 = 319.61/x
  3. Step 3: Cross multiply
    581.54x = 802.57 × 319.61
  4. Step 4: Simplify right side
    581.54x = 256,504.59
  5. Step 5: Solve for x
    x = 256,504.59/581.54
  6. Step 6: Final answer
    x = 441.08

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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.