Home / 1,131.53-1,697.60-1,023.08

Finding the Fourth Proportional to 1,131.53, 1,697.60 and 1,023.08

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Solution

The fourth proportional to 1,131.53, 1,697.60 and 1,023.08 is: 1,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.53 : 1,697.60 = 1,023.08 : x
  2. Step 2: Convert to fraction form
    1,131.53/1,697.60 = 1,023.08/x
  3. Step 3: Cross multiply
    1,131.53x = 1,697.60 × 1,023.08
  4. Step 4: Simplify right side
    1,131.53x = 1,736,779.74
  5. Step 5: Solve for x
    x = 1,736,779.74/1,131.53
  6. Step 6: Final answer
    x = 1,534.90

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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.