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Finding the Fourth Proportional to 646.37, 973.36 and 465.03

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Solution

The fourth proportional to 646.37, 973.36 and 465.03 is: 700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.37 : 973.36 = 465.03 : x
  2. Step 2: Convert to fraction form
    646.37/973.36 = 465.03/x
  3. Step 3: Cross multiply
    646.37x = 973.36 × 465.03
  4. Step 4: Simplify right side
    646.37x = 452,640.44
  5. Step 5: Solve for x
    x = 452,640.44/646.37
  6. Step 6: Final answer
    x = 700.28

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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.