Home / 1,146.14-1,580.63-969.47

Finding the Fourth Proportional to 1,146.14, 1,580.63 and 969.47

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Solution

The fourth proportional to 1,146.14, 1,580.63 and 969.47 is: 1,336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.14 : 1,580.63 = 969.47 : x
  2. Step 2: Convert to fraction form
    1,146.14/1,580.63 = 969.47/x
  3. Step 3: Cross multiply
    1,146.14x = 1,580.63 × 969.47
  4. Step 4: Simplify right side
    1,146.14x = 1,532,373.37
  5. Step 5: Solve for x
    x = 1,532,373.37/1,146.14
  6. Step 6: Final answer
    x = 1,336.99

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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.