Home / 1,461.79-2,191.81-584.44

Finding the Fourth Proportional to 1,461.79, 2,191.81 and 584.44

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Solution

The fourth proportional to 1,461.79, 2,191.81 and 584.44 is: 876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.79 : 2,191.81 = 584.44 : x
  2. Step 2: Convert to fraction form
    1,461.79/2,191.81 = 584.44/x
  3. Step 3: Cross multiply
    1,461.79x = 2,191.81 × 584.44
  4. Step 4: Simplify right side
    1,461.79x = 1,280,981.44
  5. Step 5: Solve for x
    x = 1,280,981.44/1,461.79
  6. Step 6: Final answer
    x = 876.31

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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.