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Finding the Fourth Proportional to 688.36, 951.24 and 522.28

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Solution

The fourth proportional to 688.36, 951.24 and 522.28 is: 721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.36 : 951.24 = 522.28 : x
  2. Step 2: Convert to fraction form
    688.36/951.24 = 522.28/x
  3. Step 3: Cross multiply
    688.36x = 951.24 × 522.28
  4. Step 4: Simplify right side
    688.36x = 496,813.63
  5. Step 5: Solve for x
    x = 496,813.63/688.36
  6. Step 6: Final answer
    x = 721.74

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1.5x scale

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.