Home / 1,585.13-2,374.11-764.00

Finding the Fourth Proportional to 1,585.13, 2,374.11 and 764.00

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Solution

The fourth proportional to 1,585.13, 2,374.11 and 764.00 is: 1,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.13 : 2,374.11 = 764.00 : x
  2. Step 2: Convert to fraction form
    1,585.13/2,374.11 = 764.00/x
  3. Step 3: Cross multiply
    1,585.13x = 2,374.11 × 764.00
  4. Step 4: Simplify right side
    1,585.13x = 1,813,808.17
  5. Step 5: Solve for x
    x = 1,813,808.17/1,585.13
  6. Step 6: Final answer
    x = 1,144.26

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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.