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Finding the Fourth Proportional to 689.77, 1,033.64 and 543.87

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Solution

The fourth proportional to 689.77, 1,033.64 and 543.87 is: 815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.77 : 1,033.64 = 543.87 : x
  2. Step 2: Convert to fraction form
    689.77/1,033.64 = 543.87/x
  3. Step 3: Cross multiply
    689.77x = 1,033.64 × 543.87
  4. Step 4: Simplify right side
    689.77x = 562,165.79
  5. Step 5: Solve for x
    x = 562,165.79/689.77
  6. Step 6: Final answer
    x = 815.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.