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Finding the Fourth Proportional to 1,407.18, 1,942.20 and 884.46

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Solution

The fourth proportional to 1,407.18, 1,942.20 and 884.46 is: 1,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.18 : 1,942.20 = 884.46 : x
  2. Step 2: Convert to fraction form
    1,407.18/1,942.20 = 884.46/x
  3. Step 3: Cross multiply
    1,407.18x = 1,942.20 × 884.46
  4. Step 4: Simplify right side
    1,407.18x = 1,717,798.21
  5. Step 5: Solve for x
    x = 1,717,798.21/1,407.18
  6. Step 6: Final answer
    x = 1,220.74

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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.