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Finding the Fourth Proportional to 752.10, 1,128.76 and 535.84

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Solution

The fourth proportional to 752.10, 1,128.76 and 535.84 is: 804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.10 : 1,128.76 = 535.84 : x
  2. Step 2: Convert to fraction form
    752.10/1,128.76 = 535.84/x
  3. Step 3: Cross multiply
    752.10x = 1,128.76 × 535.84
  4. Step 4: Simplify right side
    752.10x = 604,834.76
  5. Step 5: Solve for x
    x = 604,834.76/752.10
  6. Step 6: Final answer
    x = 804.19

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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.