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Finding the Fourth Proportional to 688.33, 1,031.64 and 558.64

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Solution

The fourth proportional to 688.33, 1,031.64 and 558.64 is: 837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.33 : 1,031.64 = 558.64 : x
  2. Step 2: Convert to fraction form
    688.33/1,031.64 = 558.64/x
  3. Step 3: Cross multiply
    688.33x = 1,031.64 × 558.64
  4. Step 4: Simplify right side
    688.33x = 576,315.37
  5. Step 5: Solve for x
    x = 576,315.37/688.33
  6. Step 6: Final answer
    x = 837.27

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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.