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Finding the Fourth Proportional to 1,562.40, 2,343.47 and 638.06

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Solution

The fourth proportional to 1,562.40, 2,343.47 and 638.06 is: 957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.40 : 2,343.47 = 638.06 : x
  2. Step 2: Convert to fraction form
    1,562.40/2,343.47 = 638.06/x
  3. Step 3: Cross multiply
    1,562.40x = 2,343.47 × 638.06
  4. Step 4: Simplify right side
    1,562.40x = 1,495,259.56
  5. Step 5: Solve for x
    x = 1,495,259.56/1,562.40
  6. Step 6: Final answer
    x = 957.03

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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.