Home / 1,035.17-1,428.56-563.09

Finding the Fourth Proportional to 1,035.17, 1,428.56 and 563.09

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Solution

The fourth proportional to 1,035.17, 1,428.56 and 563.09 is: 777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.17 : 1,428.56 = 563.09 : x
  2. Step 2: Convert to fraction form
    1,035.17/1,428.56 = 563.09/x
  3. Step 3: Cross multiply
    1,035.17x = 1,428.56 × 563.09
  4. Step 4: Simplify right side
    1,035.17x = 804,403.78
  5. Step 5: Solve for x
    x = 804,403.78/1,035.17
  6. Step 6: Final answer
    x = 777.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.