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Finding the Fourth Proportional to 1,222.95, 1,833.35 and 573.51

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Solution

The fourth proportional to 1,222.95, 1,833.35 and 573.51 is: 859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.95 : 1,833.35 = 573.51 : x
  2. Step 2: Convert to fraction form
    1,222.95/1,833.35 = 573.51/x
  3. Step 3: Cross multiply
    1,222.95x = 1,833.35 × 573.51
  4. Step 4: Simplify right side
    1,222.95x = 1,051,441.69
  5. Step 5: Solve for x
    x = 1,051,441.69/1,222.95
  6. Step 6: Final answer
    x = 859.76

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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.