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Finding the Fourth Proportional to 1,599.93, 2,400.63 and 722.67

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Solution

The fourth proportional to 1,599.93, 2,400.63 and 722.67 is: 1,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.93 : 2,400.63 = 722.67 : x
  2. Step 2: Convert to fraction form
    1,599.93/2,400.63 = 722.67/x
  3. Step 3: Cross multiply
    1,599.93x = 2,400.63 × 722.67
  4. Step 4: Simplify right side
    1,599.93x = 1,734,860.28
  5. Step 5: Solve for x
    x = 1,734,860.28/1,599.93
  6. Step 6: Final answer
    x = 1,084.33

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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.