Home / 1,053.10-1,579.45-283.66

Finding the Fourth Proportional to 1,053.10, 1,579.45 and 283.66

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Solution

The fourth proportional to 1,053.10, 1,579.45 and 283.66 is: 425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.10 : 1,579.45 = 283.66 : x
  2. Step 2: Convert to fraction form
    1,053.10/1,579.45 = 283.66/x
  3. Step 3: Cross multiply
    1,053.10x = 1,579.45 × 283.66
  4. Step 4: Simplify right side
    1,053.10x = 448,026.79
  5. Step 5: Solve for x
    x = 448,026.79/1,053.10
  6. Step 6: Final answer
    x = 425.44

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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.