Home / 1,507.22-2,080.09-869.36

Finding the Fourth Proportional to 1,507.22, 2,080.09 and 869.36

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Solution

The fourth proportional to 1,507.22, 2,080.09 and 869.36 is: 1,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.22 : 2,080.09 = 869.36 : x
  2. Step 2: Convert to fraction form
    1,507.22/2,080.09 = 869.36/x
  3. Step 3: Cross multiply
    1,507.22x = 2,080.09 × 869.36
  4. Step 4: Simplify right side
    1,507.22x = 1,808,347.04
  5. Step 5: Solve for x
    x = 1,808,347.04/1,507.22
  6. Step 6: Final answer
    x = 1,199.79

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1.5x scale

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.