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Finding the Fourth Proportional to 1,652.25, 2,478.38 and 626.25

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Solution

The fourth proportional to 1,652.25, 2,478.38 and 626.25 is: 939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.25 : 2,478.38 = 626.25 : x
  2. Step 2: Convert to fraction form
    1,652.25/2,478.38 = 626.25/x
  3. Step 3: Cross multiply
    1,652.25x = 2,478.38 × 626.25
  4. Step 4: Simplify right side
    1,652.25x = 1,552,082.34
  5. Step 5: Solve for x
    x = 1,552,082.34/1,652.25
  6. Step 6: Final answer
    x = 939.38

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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.