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Finding the Fourth Proportional to 1,300.02, 1,948.94 and 606.32

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Solution

The fourth proportional to 1,300.02, 1,948.94 and 606.32 is: 908.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.02 : 1,948.94 = 606.32 : x
  2. Step 2: Convert to fraction form
    1,300.02/1,948.94 = 606.32/x
  3. Step 3: Cross multiply
    1,300.02x = 1,948.94 × 606.32
  4. Step 4: Simplify right side
    1,300.02x = 1,181,687.36
  5. Step 5: Solve for x
    x = 1,181,687.36/1,300.02
  6. Step 6: Final answer
    x = 908.97

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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.