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Finding the Fourth Proportional to 935, 1,289.70 and 619.80

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Solution

The fourth proportional to 935, 1,289.70 and 619.80 is: 854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    935 : 1,289.70 = 619.80 : x
  2. Step 2: Convert to fraction form
    935/1,289.70 = 619.80/x
  3. Step 3: Cross multiply
    935x = 1,289.70 × 619.80
  4. Step 4: Simplify right side
    935x = 799,356.06
  5. Step 5: Solve for x
    x = 799,356.06/935
  6. Step 6: Final answer
    x = 854.93

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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.