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Finding the Fourth Proportional to 860.90, 1,288.83 and 535.28

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Solution

The fourth proportional to 860.90, 1,288.83 and 535.28 is: 801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.90 : 1,288.83 = 535.28 : x
  2. Step 2: Convert to fraction form
    860.90/1,288.83 = 535.28/x
  3. Step 3: Cross multiply
    860.90x = 1,288.83 × 535.28
  4. Step 4: Simplify right side
    860.90x = 689,884.92
  5. Step 5: Solve for x
    x = 689,884.92/860.90
  6. Step 6: Final answer
    x = 801.35

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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.