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Finding the Fourth Proportional to 1,420.71, 1,961.24 and 917.31

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Solution

The fourth proportional to 1,420.71, 1,961.24 and 917.31 is: 1,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.71 : 1,961.24 = 917.31 : x
  2. Step 2: Convert to fraction form
    1,420.71/1,961.24 = 917.31/x
  3. Step 3: Cross multiply
    1,420.71x = 1,961.24 × 917.31
  4. Step 4: Simplify right side
    1,420.71x = 1,799,055.24
  5. Step 5: Solve for x
    x = 1,799,055.24/1,420.71
  6. Step 6: Final answer
    x = 1,266.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.