Home / 1,315.93-1,974.57-586.03

Finding the Fourth Proportional to 1,315.93, 1,974.57 and 586.03

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Solution

The fourth proportional to 1,315.93, 1,974.57 and 586.03 is: 879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.93 : 1,974.57 = 586.03 : x
  2. Step 2: Convert to fraction form
    1,315.93/1,974.57 = 586.03/x
  3. Step 3: Cross multiply
    1,315.93x = 1,974.57 × 586.03
  4. Step 4: Simplify right side
    1,315.93x = 1,157,157.26
  5. Step 5: Solve for x
    x = 1,157,157.26/1,315.93
  6. Step 6: Final answer
    x = 879.35

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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.