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Finding the Fourth Proportional to 1,409.90, 1,945.58 and 820.42

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Solution

The fourth proportional to 1,409.90, 1,945.58 and 820.42 is: 1,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.90 : 1,945.58 = 820.42 : x
  2. Step 2: Convert to fraction form
    1,409.90/1,945.58 = 820.42/x
  3. Step 3: Cross multiply
    1,409.90x = 1,945.58 × 820.42
  4. Step 4: Simplify right side
    1,409.90x = 1,596,192.74
  5. Step 5: Solve for x
    x = 1,596,192.74/1,409.90
  6. Step 6: Final answer
    x = 1,132.13

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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.