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Finding the Fourth Proportional to 646.01, 891.42 and 380.40

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Solution

The fourth proportional to 646.01, 891.42 and 380.40 is: 524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.01 : 891.42 = 380.40 : x
  2. Step 2: Convert to fraction form
    646.01/891.42 = 380.40/x
  3. Step 3: Cross multiply
    646.01x = 891.42 × 380.40
  4. Step 4: Simplify right side
    646.01x = 339,096.17
  5. Step 5: Solve for x
    x = 339,096.17/646.01
  6. Step 6: Final answer
    x = 524.91

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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.