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Finding the Fourth Proportional to 1,409.94, 1,945.91 and 820.66

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Solution

The fourth proportional to 1,409.94, 1,945.91 and 820.66 is: 1,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.94 : 1,945.91 = 820.66 : x
  2. Step 2: Convert to fraction form
    1,409.94/1,945.91 = 820.66/x
  3. Step 3: Cross multiply
    1,409.94x = 1,945.91 × 820.66
  4. Step 4: Simplify right side
    1,409.94x = 1,596,941.39
  5. Step 5: Solve for x
    x = 1,596,941.39/1,409.94
  6. Step 6: Final answer
    x = 1,132.63

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1.5x scale

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.