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Finding the Fourth Proportional to 1,021.28, 1,530.74 and 435.90

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Solution

The fourth proportional to 1,021.28, 1,530.74 and 435.90 is: 653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.28 : 1,530.74 = 435.90 : x
  2. Step 2: Convert to fraction form
    1,021.28/1,530.74 = 435.90/x
  3. Step 3: Cross multiply
    1,021.28x = 1,530.74 × 435.90
  4. Step 4: Simplify right side
    1,021.28x = 667,247.39
  5. Step 5: Solve for x
    x = 667,247.39/1,021.28
  6. Step 6: Final answer
    x = 653.35

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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.