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Finding the Fourth Proportional to 1,370.79, 2,056.38 and 505.04

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Solution

The fourth proportional to 1,370.79, 2,056.38 and 505.04 is: 757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.79 : 2,056.38 = 505.04 : x
  2. Step 2: Convert to fraction form
    1,370.79/2,056.38 = 505.04/x
  3. Step 3: Cross multiply
    1,370.79x = 2,056.38 × 505.04
  4. Step 4: Simplify right side
    1,370.79x = 1,038,543.87
  5. Step 5: Solve for x
    x = 1,038,543.87/1,370.79
  6. Step 6: Final answer
    x = 757.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.