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Finding the Fourth Proportional to 646.82, 973.88 and 570.27

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Solution

The fourth proportional to 646.82, 973.88 and 570.27 is: 858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.82 : 973.88 = 570.27 : x
  2. Step 2: Convert to fraction form
    646.82/973.88 = 570.27/x
  3. Step 3: Cross multiply
    646.82x = 973.88 × 570.27
  4. Step 4: Simplify right side
    646.82x = 555,371.70
  5. Step 5: Solve for x
    x = 555,371.70/646.82
  6. Step 6: Final answer
    x = 858.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.