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Finding the Fourth Proportional to 1,409.91, 1,946.34 and 820.23

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Solution

The fourth proportional to 1,409.91, 1,946.34 and 820.23 is: 1,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.91 : 1,946.34 = 820.23 : x
  2. Step 2: Convert to fraction form
    1,409.91/1,946.34 = 820.23/x
  3. Step 3: Cross multiply
    1,409.91x = 1,946.34 × 820.23
  4. Step 4: Simplify right side
    1,409.91x = 1,596,446.46
  5. Step 5: Solve for x
    x = 1,596,446.46/1,409.91
  6. Step 6: Final answer
    x = 1,132.30

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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.