Home / 1,506.96-2,261.10-685.08

Finding the Fourth Proportional to 1,506.96, 2,261.10 and 685.08

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Solution

The fourth proportional to 1,506.96, 2,261.10 and 685.08 is: 1,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.96 : 2,261.10 = 685.08 : x
  2. Step 2: Convert to fraction form
    1,506.96/2,261.10 = 685.08/x
  3. Step 3: Cross multiply
    1,506.96x = 2,261.10 × 685.08
  4. Step 4: Simplify right side
    1,506.96x = 1,549,034.39
  5. Step 5: Solve for x
    x = 1,549,034.39/1,506.96
  6. Step 6: Final answer
    x = 1,027.92

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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.