Home / 1,364.80-2,047.20-584.73

Finding the Fourth Proportional to 1,364.80, 2,047.20 and 584.73

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Solution

The fourth proportional to 1,364.80, 2,047.20 and 584.73 is: 877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.80 : 2,047.20 = 584.73 : x
  2. Step 2: Convert to fraction form
    1,364.80/2,047.20 = 584.73/x
  3. Step 3: Cross multiply
    1,364.80x = 2,047.20 × 584.73
  4. Step 4: Simplify right side
    1,364.80x = 1,197,064.74
  5. Step 5: Solve for x
    x = 1,197,064.74/1,364.80
  6. Step 6: Final answer
    x = 877.10

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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.