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Finding the Fourth Proportional to 646.83, 892.35 and 522.90

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Solution

The fourth proportional to 646.83, 892.35 and 522.90 is: 721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.83 : 892.35 = 522.90 : x
  2. Step 2: Convert to fraction form
    646.83/892.35 = 522.90/x
  3. Step 3: Cross multiply
    646.83x = 892.35 × 522.90
  4. Step 4: Simplify right side
    646.83x = 466,609.82
  5. Step 5: Solve for x
    x = 466,609.82/646.83
  6. Step 6: Final answer
    x = 721.38

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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.