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Finding the Fourth Proportional to 1,541.45, 2,312.93 and 719.60

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Solution

The fourth proportional to 1,541.45, 2,312.93 and 719.60 is: 1,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.45 : 2,312.93 = 719.60 : x
  2. Step 2: Convert to fraction form
    1,541.45/2,312.93 = 719.60/x
  3. Step 3: Cross multiply
    1,541.45x = 2,312.93 × 719.60
  4. Step 4: Simplify right side
    1,541.45x = 1,664,392.01
  5. Step 5: Solve for x
    x = 1,664,392.01/1,541.45
  6. Step 6: Final answer
    x = 1,079.76

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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.