Home / 1,035.09-1,428.41-569.34

Finding the Fourth Proportional to 1,035.09, 1,428.41 and 569.34

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Solution

The fourth proportional to 1,035.09, 1,428.41 and 569.34 is: 785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.09 : 1,428.41 = 569.34 : x
  2. Step 2: Convert to fraction form
    1,035.09/1,428.41 = 569.34/x
  3. Step 3: Cross multiply
    1,035.09x = 1,428.41 × 569.34
  4. Step 4: Simplify right side
    1,035.09x = 813,243.81
  5. Step 5: Solve for x
    x = 813,243.81/1,035.09
  6. Step 6: Final answer
    x = 785.68

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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.