Home / 1,132.23-1,698.31-310.50

Finding the Fourth Proportional to 1,132.23, 1,698.31 and 310.50

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Solution

The fourth proportional to 1,132.23, 1,698.31 and 310.50 is: 465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.23 : 1,698.31 = 310.50 : x
  2. Step 2: Convert to fraction form
    1,132.23/1,698.31 = 310.50/x
  3. Step 3: Cross multiply
    1,132.23x = 1,698.31 × 310.50
  4. Step 4: Simplify right side
    1,132.23x = 527,325.26
  5. Step 5: Solve for x
    x = 527,325.26/1,132.23
  6. Step 6: Final answer
    x = 465.74

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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.