Home / 1,035.20-1,428.56-569.44

Finding the Fourth Proportional to 1,035.20, 1,428.56 and 569.44

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Solution

The fourth proportional to 1,035.20, 1,428.56 and 569.44 is: 785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.20 : 1,428.56 = 569.44 : x
  2. Step 2: Convert to fraction form
    1,035.20/1,428.56 = 569.44/x
  3. Step 3: Cross multiply
    1,035.20x = 1,428.56 × 569.44
  4. Step 4: Simplify right side
    1,035.20x = 813,479.21
  5. Step 5: Solve for x
    x = 813,479.21/1,035.20
  6. Step 6: Final answer
    x = 785.82

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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.