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Finding the Fourth Proportional to 1,021.45, 1,530.06 and 533.02

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Solution

The fourth proportional to 1,021.45, 1,530.06 and 533.02 is: 798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.45 : 1,530.06 = 533.02 : x
  2. Step 2: Convert to fraction form
    1,021.45/1,530.06 = 533.02/x
  3. Step 3: Cross multiply
    1,021.45x = 1,530.06 × 533.02
  4. Step 4: Simplify right side
    1,021.45x = 815,552.58
  5. Step 5: Solve for x
    x = 815,552.58/1,021.45
  6. Step 6: Final answer
    x = 798.43

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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.