Home / 1,126.90-1,688.83-578.94

Finding the Fourth Proportional to 1,126.90, 1,688.83 and 578.94

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Solution

The fourth proportional to 1,126.90, 1,688.83 and 578.94 is: 867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.90 : 1,688.83 = 578.94 : x
  2. Step 2: Convert to fraction form
    1,126.90/1,688.83 = 578.94/x
  3. Step 3: Cross multiply
    1,126.90x = 1,688.83 × 578.94
  4. Step 4: Simplify right side
    1,126.90x = 977,731.24
  5. Step 5: Solve for x
    x = 977,731.24/1,126.90
  6. Step 6: Final answer
    x = 867.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.