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Finding the Fourth Proportional to 714.90, 986.50 and 420.14

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Solution

The fourth proportional to 714.90, 986.50 and 420.14 is: 579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.90 : 986.50 = 420.14 : x
  2. Step 2: Convert to fraction form
    714.90/986.50 = 420.14/x
  3. Step 3: Cross multiply
    714.90x = 986.50 × 420.14
  4. Step 4: Simplify right side
    714.90x = 414,468.11
  5. Step 5: Solve for x
    x = 414,468.11/714.90
  6. Step 6: Final answer
    x = 579.76

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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.