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Finding the Fourth Proportional to 1,206.75, 1,665.32 and 654.75

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Solution

The fourth proportional to 1,206.75, 1,665.32 and 654.75 is: 903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.75 : 1,665.32 = 654.75 : x
  2. Step 2: Convert to fraction form
    1,206.75/1,665.32 = 654.75/x
  3. Step 3: Cross multiply
    1,206.75x = 1,665.32 × 654.75
  4. Step 4: Simplify right side
    1,206.75x = 1,090,365.00
  5. Step 5: Solve for x
    x = 1,090,365.00/1,206.75
  6. Step 6: Final answer
    x = 903.56

Related Problems

Find fourth proportional to 603.38, 832.66 and 327.38
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.