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Finding the Fourth Proportional to 872.77, 1,203.58 and 589.81

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Solution

The fourth proportional to 872.77, 1,203.58 and 589.81 is: 813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.77 : 1,203.58 = 589.81 : x
  2. Step 2: Convert to fraction form
    872.77/1,203.58 = 589.81/x
  3. Step 3: Cross multiply
    872.77x = 1,203.58 × 589.81
  4. Step 4: Simplify right side
    872.77x = 709,880.57
  5. Step 5: Solve for x
    x = 709,880.57/872.77
  6. Step 6: Final answer
    x = 813.36

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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.