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Finding the Fourth Proportional to 1,004.83, 1,386.26 and 612.08

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Solution

The fourth proportional to 1,004.83, 1,386.26 and 612.08 is: 844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.83 : 1,386.26 = 612.08 : x
  2. Step 2: Convert to fraction form
    1,004.83/1,386.26 = 612.08/x
  3. Step 3: Cross multiply
    1,004.83x = 1,386.26 × 612.08
  4. Step 4: Simplify right side
    1,004.83x = 848,502.02
  5. Step 5: Solve for x
    x = 848,502.02/1,004.83
  6. Step 6: Final answer
    x = 844.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.