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Finding the Fourth Proportional to 1,021.81, 1,533.14 and 535.18

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Solution

The fourth proportional to 1,021.81, 1,533.14 and 535.18 is: 802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.81 : 1,533.14 = 535.18 : x
  2. Step 2: Convert to fraction form
    1,021.81/1,533.14 = 535.18/x
  3. Step 3: Cross multiply
    1,021.81x = 1,533.14 × 535.18
  4. Step 4: Simplify right side
    1,021.81x = 820,505.87
  5. Step 5: Solve for x
    x = 820,505.87/1,021.81
  6. Step 6: Final answer
    x = 802.99

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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.