Home / 1,298.31-1,946.09-567.69

Finding the Fourth Proportional to 1,298.31, 1,946.09 and 567.69

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Solution

The fourth proportional to 1,298.31, 1,946.09 and 567.69 is: 850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.31 : 1,946.09 = 567.69 : x
  2. Step 2: Convert to fraction form
    1,298.31/1,946.09 = 567.69/x
  3. Step 3: Cross multiply
    1,298.31x = 1,946.09 × 567.69
  4. Step 4: Simplify right side
    1,298.31x = 1,104,772.99
  5. Step 5: Solve for x
    x = 1,104,772.99/1,298.31
  6. Step 6: Final answer
    x = 850.93

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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.