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Finding the Fourth Proportional to 941.93, 1,407.33 and 909.64

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Solution

The fourth proportional to 941.93, 1,407.33 and 909.64 is: 1,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.93 : 1,407.33 = 909.64 : x
  2. Step 2: Convert to fraction form
    941.93/1,407.33 = 909.64/x
  3. Step 3: Cross multiply
    941.93x = 1,407.33 × 909.64
  4. Step 4: Simplify right side
    941.93x = 1,280,157.50
  5. Step 5: Solve for x
    x = 1,280,157.50/941.93
  6. Step 6: Final answer
    x = 1,359.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.