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Finding the Fourth Proportional to 646.31, 891.81 and 366.45

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Solution

The fourth proportional to 646.31, 891.81 and 366.45 is: 505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.31 : 891.81 = 366.45 : x
  2. Step 2: Convert to fraction form
    646.31/891.81 = 366.45/x
  3. Step 3: Cross multiply
    646.31x = 891.81 × 366.45
  4. Step 4: Simplify right side
    646.31x = 326,803.77
  5. Step 5: Solve for x
    x = 326,803.77/646.31
  6. Step 6: Final answer
    x = 505.65

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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.