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Finding the Fourth Proportional to 1,028.49, 1,543.20 and 509.01

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Solution

The fourth proportional to 1,028.49, 1,543.20 and 509.01 is: 763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.49 : 1,543.20 = 509.01 : x
  2. Step 2: Convert to fraction form
    1,028.49/1,543.20 = 509.01/x
  3. Step 3: Cross multiply
    1,028.49x = 1,543.20 × 509.01
  4. Step 4: Simplify right side
    1,028.49x = 785,504.23
  5. Step 5: Solve for x
    x = 785,504.23/1,028.49
  6. Step 6: Final answer
    x = 763.75

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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.