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Finding the Fourth Proportional to 917.08, 1,264.50 and 683.80

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Solution

The fourth proportional to 917.08, 1,264.50 and 683.80 is: 942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.08 : 1,264.50 = 683.80 : x
  2. Step 2: Convert to fraction form
    917.08/1,264.50 = 683.80/x
  3. Step 3: Cross multiply
    917.08x = 1,264.50 × 683.80
  4. Step 4: Simplify right side
    917.08x = 864,665.10
  5. Step 5: Solve for x
    x = 864,665.10/917.08
  6. Step 6: Final answer
    x = 942.85

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Why These Related Problems?

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