Home / 1,126.20-1,688.76-578.10

Finding the Fourth Proportional to 1,126.20, 1,688.76 and 578.10

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Solution

The fourth proportional to 1,126.20, 1,688.76 and 578.10 is: 866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.20 : 1,688.76 = 578.10 : x
  2. Step 2: Convert to fraction form
    1,126.20/1,688.76 = 578.10/x
  3. Step 3: Cross multiply
    1,126.20x = 1,688.76 × 578.10
  4. Step 4: Simplify right side
    1,126.20x = 976,272.16
  5. Step 5: Solve for x
    x = 976,272.16/1,126.20
  6. Step 6: Final answer
    x = 866.87

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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.