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Finding the Fourth Proportional to 1,483.02, 2,224.56 and 509

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Solution

The fourth proportional to 1,483.02, 2,224.56 and 509 is: 763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.02 : 2,224.56 = 509 : x
  2. Step 2: Convert to fraction form
    1,483.02/2,224.56 = 509/x
  3. Step 3: Cross multiply
    1,483.02x = 2,224.56 × 509
  4. Step 4: Simplify right side
    1,483.02x = 1,132,301.04
  5. Step 5: Solve for x
    x = 1,132,301.04/1,483.02
  6. Step 6: Final answer
    x = 763.51

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Double scale
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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.