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Finding the Fourth Proportional to 957.42, 1,429.14 and 821.34

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Solution

The fourth proportional to 957.42, 1,429.14 and 821.34 is: 1,226.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.42 : 1,429.14 = 821.34 : x
  2. Step 2: Convert to fraction form
    957.42/1,429.14 = 821.34/x
  3. Step 3: Cross multiply
    957.42x = 1,429.14 × 821.34
  4. Step 4: Simplify right side
    957.42x = 1,173,812.93
  5. Step 5: Solve for x
    x = 1,173,812.93/957.42
  6. Step 6: Final answer
    x = 1,226.02

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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.