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Finding the Fourth Proportional to 2,340.20, 3,510.40 and 608.78

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Solution

The fourth proportional to 2,340.20, 3,510.40 and 608.78 is: 913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.20 : 3,510.40 = 608.78 : x
  2. Step 2: Convert to fraction form
    2,340.20/3,510.40 = 608.78/x
  3. Step 3: Cross multiply
    2,340.20x = 3,510.40 × 608.78
  4. Step 4: Simplify right side
    2,340.20x = 2,137,061.31
  5. Step 5: Solve for x
    x = 2,137,061.31/2,340.20
  6. Step 6: Final answer
    x = 913.20

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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.