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Finding the Fourth Proportional to 1,200.79, 1,657.85 and 920.50

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Solution

The fourth proportional to 1,200.79, 1,657.85 and 920.50 is: 1,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.79 : 1,657.85 = 920.50 : x
  2. Step 2: Convert to fraction form
    1,200.79/1,657.85 = 920.50/x
  3. Step 3: Cross multiply
    1,200.79x = 1,657.85 × 920.50
  4. Step 4: Simplify right side
    1,200.79x = 1,526,038.03
  5. Step 5: Solve for x
    x = 1,526,038.03/1,200.79
  6. Step 6: Final answer
    x = 1,270.86

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