Home / 1,035.08-1,428.41-562.98

Finding the Fourth Proportional to 1,035.08, 1,428.41 and 562.98

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Solution

The fourth proportional to 1,035.08, 1,428.41 and 562.98 is: 776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.08 : 1,428.41 = 562.98 : x
  2. Step 2: Convert to fraction form
    1,035.08/1,428.41 = 562.98/x
  3. Step 3: Cross multiply
    1,035.08x = 1,428.41 × 562.98
  4. Step 4: Simplify right side
    1,035.08x = 804,161.61
  5. Step 5: Solve for x
    x = 804,161.61/1,035.08
  6. Step 6: Final answer
    x = 776.91

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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.