Home / 1,507.71-2,080.26-948.45

Finding the Fourth Proportional to 1,507.71, 2,080.26 and 948.45

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Solution

The fourth proportional to 1,507.71, 2,080.26 and 948.45 is: 1,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.71 : 2,080.26 = 948.45 : x
  2. Step 2: Convert to fraction form
    1,507.71/2,080.26 = 948.45/x
  3. Step 3: Cross multiply
    1,507.71x = 2,080.26 × 948.45
  4. Step 4: Simplify right side
    1,507.71x = 1,973,022.60
  5. Step 5: Solve for x
    x = 1,973,022.60/1,507.71
  6. Step 6: Final answer
    x = 1,308.62

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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.