Home / 1,585.35-2,377.26-598.14

Finding the Fourth Proportional to 1,585.35, 2,377.26 and 598.14

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Solution

The fourth proportional to 1,585.35, 2,377.26 and 598.14 is: 896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.35 : 2,377.26 = 598.14 : x
  2. Step 2: Convert to fraction form
    1,585.35/2,377.26 = 598.14/x
  3. Step 3: Cross multiply
    1,585.35x = 2,377.26 × 598.14
  4. Step 4: Simplify right side
    1,585.35x = 1,421,934.30
  5. Step 5: Solve for x
    x = 1,421,934.30/1,585.35
  6. Step 6: Final answer
    x = 896.92

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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.