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Finding the Fourth Proportional to 535.29, 736.08 and 465.23

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Solution

The fourth proportional to 535.29, 736.08 and 465.23 is: 639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.29 : 736.08 = 465.23 : x
  2. Step 2: Convert to fraction form
    535.29/736.08 = 465.23/x
  3. Step 3: Cross multiply
    535.29x = 736.08 × 465.23
  4. Step 4: Simplify right side
    535.29x = 342,442.82
  5. Step 5: Solve for x
    x = 342,442.82/535.29
  6. Step 6: Final answer
    x = 639.73

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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.