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Finding the Fourth Proportional to 646.50, 891.42 and 513.46

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Solution

The fourth proportional to 646.50, 891.42 and 513.46 is: 707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.50 : 891.42 = 513.46 : x
  2. Step 2: Convert to fraction form
    646.50/891.42 = 513.46/x
  3. Step 3: Cross multiply
    646.50x = 891.42 × 513.46
  4. Step 4: Simplify right side
    646.50x = 457,705.58
  5. Step 5: Solve for x
    x = 457,705.58/646.50
  6. Step 6: Final answer
    x = 707.98

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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.