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Finding the Fourth Proportional to 581.29, 802.61 and 406.87

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Solution

The fourth proportional to 581.29, 802.61 and 406.87 is: 561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.29 : 802.61 = 406.87 : x
  2. Step 2: Convert to fraction form
    581.29/802.61 = 406.87/x
  3. Step 3: Cross multiply
    581.29x = 802.61 × 406.87
  4. Step 4: Simplify right side
    581.29x = 326,555.42
  5. Step 5: Solve for x
    x = 326,555.42/581.29
  6. Step 6: Final answer
    x = 561.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.