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Finding the Fourth Proportional to 646.07, 891.20 and 397.22

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Solution

The fourth proportional to 646.07, 891.20 and 397.22 is: 547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.07 : 891.20 = 397.22 : x
  2. Step 2: Convert to fraction form
    646.07/891.20 = 397.22/x
  3. Step 3: Cross multiply
    646.07x = 891.20 × 397.22
  4. Step 4: Simplify right side
    646.07x = 353,999.00
  5. Step 5: Solve for x
    x = 353,999.00/646.07
  6. Step 6: Final answer
    x = 547.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.