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Finding the Fourth Proportional to 941.02, 1,409.10 and 917.80

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Solution

The fourth proportional to 941.02, 1,409.10 and 917.80 is: 1,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.02 : 1,409.10 = 917.80 : x
  2. Step 2: Convert to fraction form
    941.02/1,409.10 = 917.80/x
  3. Step 3: Cross multiply
    941.02x = 1,409.10 × 917.80
  4. Step 4: Simplify right side
    941.02x = 1,293,271.98
  5. Step 5: Solve for x
    x = 1,293,271.98/941.02
  6. Step 6: Final answer
    x = 1,374.33

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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.