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Finding the Fourth Proportional to 619.20, 933.18 and 589.92

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Solution

The fourth proportional to 619.20, 933.18 and 589.92 is: 889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.20 : 933.18 = 589.92 : x
  2. Step 2: Convert to fraction form
    619.20/933.18 = 589.92/x
  3. Step 3: Cross multiply
    619.20x = 933.18 × 589.92
  4. Step 4: Simplify right side
    619.20x = 550,501.55
  5. Step 5: Solve for x
    x = 550,501.55/619.20
  6. Step 6: Final answer
    x = 889.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.