Home / 1,053.05-1,579.31-312.49

Finding the Fourth Proportional to 1,053.05, 1,579.31 and 312.49

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Solution

The fourth proportional to 1,053.05, 1,579.31 and 312.49 is: 468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.05 : 1,579.31 = 312.49 : x
  2. Step 2: Convert to fraction form
    1,053.05/1,579.31 = 312.49/x
  3. Step 3: Cross multiply
    1,053.05x = 1,579.31 × 312.49
  4. Step 4: Simplify right side
    1,053.05x = 493,514.24
  5. Step 5: Solve for x
    x = 493,514.24/1,053.05
  6. Step 6: Final answer
    x = 468.65

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Double scale
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1.5x scale

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.