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Finding the Fourth Proportional to 1,035.81, 1,429.49 and 581.61

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Solution

The fourth proportional to 1,035.81, 1,429.49 and 581.61 is: 802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.81 : 1,429.49 = 581.61 : x
  2. Step 2: Convert to fraction form
    1,035.81/1,429.49 = 581.61/x
  3. Step 3: Cross multiply
    1,035.81x = 1,429.49 × 581.61
  4. Step 4: Simplify right side
    1,035.81x = 831,405.68
  5. Step 5: Solve for x
    x = 831,405.68/1,035.81
  6. Step 6: Final answer
    x = 802.66

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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.