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Finding the Fourth Proportional to 1,438.42, 1,984.58 and 848.74

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Solution

The fourth proportional to 1,438.42, 1,984.58 and 848.74 is: 1,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.42 : 1,984.58 = 848.74 : x
  2. Step 2: Convert to fraction form
    1,438.42/1,984.58 = 848.74/x
  3. Step 3: Cross multiply
    1,438.42x = 1,984.58 × 848.74
  4. Step 4: Simplify right side
    1,438.42x = 1,684,392.43
  5. Step 5: Solve for x
    x = 1,684,392.43/1,438.42
  6. Step 6: Final answer
    x = 1,171.00

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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.