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Finding the Fourth Proportional to 714.69, 986.37 and 420.06

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Solution

The fourth proportional to 714.69, 986.37 and 420.06 is: 579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.69 : 986.37 = 420.06 : x
  2. Step 2: Convert to fraction form
    714.69/986.37 = 420.06/x
  3. Step 3: Cross multiply
    714.69x = 986.37 × 420.06
  4. Step 4: Simplify right side
    714.69x = 414,334.58
  5. Step 5: Solve for x
    x = 414,334.58/714.69
  6. Step 6: Final answer
    x = 579.74

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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.