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Finding the Fourth Proportional to 688.75, 1,031.97 and 526.48

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Solution

The fourth proportional to 688.75, 1,031.97 and 526.48 is: 788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.75 : 1,031.97 = 526.48 : x
  2. Step 2: Convert to fraction form
    688.75/1,031.97 = 526.48/x
  3. Step 3: Cross multiply
    688.75x = 1,031.97 × 526.48
  4. Step 4: Simplify right side
    688.75x = 543,311.57
  5. Step 5: Solve for x
    x = 543,311.57/688.75
  6. Step 6: Final answer
    x = 788.84

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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.