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Finding the Fourth Proportional to 535.83, 805.10 and 514.23

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Solution

The fourth proportional to 535.83, 805.10 and 514.23 is: 772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.83 : 805.10 = 514.23 : x
  2. Step 2: Convert to fraction form
    535.83/805.10 = 514.23/x
  3. Step 3: Cross multiply
    535.83x = 805.10 × 514.23
  4. Step 4: Simplify right side
    535.83x = 414,006.57
  5. Step 5: Solve for x
    x = 414,006.57/535.83
  6. Step 6: Final answer
    x = 772.65

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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.