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Finding the Fourth Proportional to 1,298.39, 1,946.48 and 567.42

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Solution

The fourth proportional to 1,298.39, 1,946.48 and 567.42 is: 850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.39 : 1,946.48 = 567.42 : x
  2. Step 2: Convert to fraction form
    1,298.39/1,946.48 = 567.42/x
  3. Step 3: Cross multiply
    1,298.39x = 1,946.48 × 567.42
  4. Step 4: Simplify right side
    1,298.39x = 1,104,471.68
  5. Step 5: Solve for x
    x = 1,104,471.68/1,298.39
  6. Step 6: Final answer
    x = 850.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.