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Finding the Fourth Proportional to 917.10, 1,371.60 and 771.30

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Solution

The fourth proportional to 917.10, 1,371.60 and 771.30 is: 1,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.10 : 1,371.60 = 771.30 : x
  2. Step 2: Convert to fraction form
    917.10/1,371.60 = 771.30/x
  3. Step 3: Cross multiply
    917.10x = 1,371.60 × 771.30
  4. Step 4: Simplify right side
    917.10x = 1,057,915.08
  5. Step 5: Solve for x
    x = 1,057,915.08/917.10
  6. Step 6: Final answer
    x = 1,153.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.