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Finding the Fourth Proportional to 1,608.51, 2,412.95 and 568.30

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Solution

The fourth proportional to 1,608.51, 2,412.95 and 568.30 is: 852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.51 : 2,412.95 = 568.30 : x
  2. Step 2: Convert to fraction form
    1,608.51/2,412.95 = 568.30/x
  3. Step 3: Cross multiply
    1,608.51x = 2,412.95 × 568.30
  4. Step 4: Simplify right side
    1,608.51x = 1,371,268.84
  5. Step 5: Solve for x
    x = 1,371,268.84/1,608.51
  6. Step 6: Final answer
    x = 852.51

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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.