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Finding the Fourth Proportional to 1,740.48, 2,611.20 and 586.40

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Solution

The fourth proportional to 1,740.48, 2,611.20 and 586.40 is: 879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.48 : 2,611.20 = 586.40 : x
  2. Step 2: Convert to fraction form
    1,740.48/2,611.20 = 586.40/x
  3. Step 3: Cross multiply
    1,740.48x = 2,611.20 × 586.40
  4. Step 4: Simplify right side
    1,740.48x = 1,531,207.68
  5. Step 5: Solve for x
    x = 1,531,207.68/1,740.48
  6. Step 6: Final answer
    x = 879.76

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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.