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Finding the Fourth Proportional to 1,020.49, 1,530.95 and 533.41

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Solution

The fourth proportional to 1,020.49, 1,530.95 and 533.41 is: 800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.49 : 1,530.95 = 533.41 : x
  2. Step 2: Convert to fraction form
    1,020.49/1,530.95 = 533.41/x
  3. Step 3: Cross multiply
    1,020.49x = 1,530.95 × 533.41
  4. Step 4: Simplify right side
    1,020.49x = 816,617.55
  5. Step 5: Solve for x
    x = 816,617.55/1,020.49
  6. Step 6: Final answer
    x = 800.22

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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.