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Finding the Fourth Proportional to 1,570.97, 2,357.22 and 646.81

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Solution

The fourth proportional to 1,570.97, 2,357.22 and 646.81 is: 970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.97 : 2,357.22 = 646.81 : x
  2. Step 2: Convert to fraction form
    1,570.97/2,357.22 = 646.81/x
  3. Step 3: Cross multiply
    1,570.97x = 2,357.22 × 646.81
  4. Step 4: Simplify right side
    1,570.97x = 1,524,673.47
  5. Step 5: Solve for x
    x = 1,524,673.47/1,570.97
  6. Step 6: Final answer
    x = 970.53

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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.