Home / 1,132.12-1,698.00-310.20

Finding the Fourth Proportional to 1,132.12, 1,698.00 and 310.20

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Solution

The fourth proportional to 1,132.12, 1,698.00 and 310.20 is: 465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.12 : 1,698.00 = 310.20 : x
  2. Step 2: Convert to fraction form
    1,132.12/1,698.00 = 310.20/x
  3. Step 3: Cross multiply
    1,132.12x = 1,698.00 × 310.20
  4. Step 4: Simplify right side
    1,132.12x = 526,719.23
  5. Step 5: Solve for x
    x = 526,719.23/1,132.12
  6. Step 6: Final answer
    x = 465.25

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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.