Home / 1,523.40-2,281.45-828.35

Finding the Fourth Proportional to 1,523.40, 2,281.45 and 828.35

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Solution

The fourth proportional to 1,523.40, 2,281.45 and 828.35 is: 1,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.40 : 2,281.45 = 828.35 : x
  2. Step 2: Convert to fraction form
    1,523.40/2,281.45 = 828.35/x
  3. Step 3: Cross multiply
    1,523.40x = 2,281.45 × 828.35
  4. Step 4: Simplify right side
    1,523.40x = 1,889,834.57
  5. Step 5: Solve for x
    x = 1,889,834.57/1,523.40
  6. Step 6: Final answer
    x = 1,240.53

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1.5x scale

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.