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Finding the Fourth Proportional to 1,346.63, 1,858.41 and 822.69

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Solution

The fourth proportional to 1,346.63, 1,858.41 and 822.69 is: 1,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.63 : 1,858.41 = 822.69 : x
  2. Step 2: Convert to fraction form
    1,346.63/1,858.41 = 822.69/x
  3. Step 3: Cross multiply
    1,346.63x = 1,858.41 × 822.69
  4. Step 4: Simplify right side
    1,346.63x = 1,528,895.32
  5. Step 5: Solve for x
    x = 1,528,895.32/1,346.63
  6. Step 6: Final answer
    x = 1,135.35

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Half scale
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Double scale
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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.