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Finding the Fourth Proportional to 780.11, 1,074.23 and 558.68

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Solution

The fourth proportional to 780.11, 1,074.23 and 558.68 is: 769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.11 : 1,074.23 = 558.68 : x
  2. Step 2: Convert to fraction form
    780.11/1,074.23 = 558.68/x
  3. Step 3: Cross multiply
    780.11x = 1,074.23 × 558.68
  4. Step 4: Simplify right side
    780.11x = 600,150.82
  5. Step 5: Solve for x
    x = 600,150.82/780.11
  6. Step 6: Final answer
    x = 769.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.