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Finding the Fourth Proportional to 1,266.47, 1,899.73 and 573.01

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Solution

The fourth proportional to 1,266.47, 1,899.73 and 573.01 is: 859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.47 : 1,899.73 = 573.01 : x
  2. Step 2: Convert to fraction form
    1,266.47/1,899.73 = 573.01/x
  3. Step 3: Cross multiply
    1,266.47x = 1,899.73 × 573.01
  4. Step 4: Simplify right side
    1,266.47x = 1,088,564.29
  5. Step 5: Solve for x
    x = 1,088,564.29/1,266.47
  6. Step 6: Final answer
    x = 859.53

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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.