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Finding the Fourth Proportional to 1,021.41, 1,532.66 and 535.41

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Solution

The fourth proportional to 1,021.41, 1,532.66 and 535.41 is: 803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.41 : 1,532.66 = 535.41 : x
  2. Step 2: Convert to fraction form
    1,021.41/1,532.66 = 535.41/x
  3. Step 3: Cross multiply
    1,021.41x = 1,532.66 × 535.41
  4. Step 4: Simplify right side
    1,021.41x = 820,598.81
  5. Step 5: Solve for x
    x = 820,598.81/1,021.41
  6. Step 6: Final answer
    x = 803.40

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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.