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Finding the Fourth Proportional to 1,570.51, 2,353.83 and 645.49

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Solution

The fourth proportional to 1,570.51, 2,353.83 and 645.49 is: 967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.51 : 2,353.83 = 645.49 : x
  2. Step 2: Convert to fraction form
    1,570.51/2,353.83 = 645.49/x
  3. Step 3: Cross multiply
    1,570.51x = 2,353.83 × 645.49
  4. Step 4: Simplify right side
    1,570.51x = 1,519,373.73
  5. Step 5: Solve for x
    x = 1,519,373.73/1,570.51
  6. Step 6: Final answer
    x = 967.44

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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.