Home / 1,298.68-1,946.40-567.40

Finding the Fourth Proportional to 1,298.68, 1,946.40 and 567.40

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Solution

The fourth proportional to 1,298.68, 1,946.40 and 567.40 is: 850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.68 : 1,946.40 = 567.40 : x
  2. Step 2: Convert to fraction form
    1,298.68/1,946.40 = 567.40/x
  3. Step 3: Cross multiply
    1,298.68x = 1,946.40 × 567.40
  4. Step 4: Simplify right side
    1,298.68x = 1,104,387.36
  5. Step 5: Solve for x
    x = 1,104,387.36/1,298.68
  6. Step 6: Final answer
    x = 850.39

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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.