Home / 1,126.27-1,688.01-509.80

Finding the Fourth Proportional to 1,126.27, 1,688.01 and 509.80

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Solution

The fourth proportional to 1,126.27, 1,688.01 and 509.80 is: 764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.27 : 1,688.01 = 509.80 : x
  2. Step 2: Convert to fraction form
    1,126.27/1,688.01 = 509.80/x
  3. Step 3: Cross multiply
    1,126.27x = 1,688.01 × 509.80
  4. Step 4: Simplify right side
    1,126.27x = 860,547.50
  5. Step 5: Solve for x
    x = 860,547.50/1,126.27
  6. Step 6: Final answer
    x = 764.07

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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.