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Finding the Fourth Proportional to 581.46, 802.43 and 319.47

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Solution

The fourth proportional to 581.46, 802.43 and 319.47 is: 440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.46 : 802.43 = 319.47 : x
  2. Step 2: Convert to fraction form
    581.46/802.43 = 319.47/x
  3. Step 3: Cross multiply
    581.46x = 802.43 × 319.47
  4. Step 4: Simplify right side
    581.46x = 256,350.71
  5. Step 5: Solve for x
    x = 256,350.71/581.46
  6. Step 6: Final answer
    x = 440.87

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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.