Home / 1,148.75-1,724.10-455.90

Finding the Fourth Proportional to 1,148.75, 1,724.10 and 455.90

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Solution

The fourth proportional to 1,148.75, 1,724.10 and 455.90 is: 684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.75 : 1,724.10 = 455.90 : x
  2. Step 2: Convert to fraction form
    1,148.75/1,724.10 = 455.90/x
  3. Step 3: Cross multiply
    1,148.75x = 1,724.10 × 455.90
  4. Step 4: Simplify right side
    1,148.75x = 786,017.19
  5. Step 5: Solve for x
    x = 786,017.19/1,148.75
  6. Step 6: Final answer
    x = 684.24

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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.