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Finding the Fourth Proportional to 535.15, 802.73 and 520.57

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Solution

The fourth proportional to 535.15, 802.73 and 520.57 is: 780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.15 : 802.73 = 520.57 : x
  2. Step 2: Convert to fraction form
    535.15/802.73 = 520.57/x
  3. Step 3: Cross multiply
    535.15x = 802.73 × 520.57
  4. Step 4: Simplify right side
    535.15x = 417,872.55
  5. Step 5: Solve for x
    x = 417,872.55/535.15
  6. Step 6: Final answer
    x = 780.85

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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.