Home / 1,283.10-1,924.65-309.20

Finding the Fourth Proportional to 1,283.10, 1,924.65 and 309.20

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Solution

The fourth proportional to 1,283.10, 1,924.65 and 309.20 is: 463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.10 : 1,924.65 = 309.20 : x
  2. Step 2: Convert to fraction form
    1,283.10/1,924.65 = 309.20/x
  3. Step 3: Cross multiply
    1,283.10x = 1,924.65 × 309.20
  4. Step 4: Simplify right side
    1,283.10x = 595,103.99
  5. Step 5: Solve for x
    x = 595,103.99/1,283.10
  6. Step 6: Final answer
    x = 463.80

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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.