Home / 1,035.21-1,428.57-569.46

Finding the Fourth Proportional to 1,035.21, 1,428.57 and 569.46

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Solution

The fourth proportional to 1,035.21, 1,428.57 and 569.46 is: 785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.21 : 1,428.57 = 569.46 : x
  2. Step 2: Convert to fraction form
    1,035.21/1,428.57 = 569.46/x
  3. Step 3: Cross multiply
    1,035.21x = 1,428.57 × 569.46
  4. Step 4: Simplify right side
    1,035.21x = 813,513.47
  5. Step 5: Solve for x
    x = 813,513.47/1,035.21
  6. Step 6: Final answer
    x = 785.84

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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.