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Finding the Fourth Proportional to 714.70, 986.16 and 419.92

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Solution

The fourth proportional to 714.70, 986.16 and 419.92 is: 579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.70 : 986.16 = 419.92 : x
  2. Step 2: Convert to fraction form
    714.70/986.16 = 419.92/x
  3. Step 3: Cross multiply
    714.70x = 986.16 × 419.92
  4. Step 4: Simplify right side
    714.70x = 414,108.31
  5. Step 5: Solve for x
    x = 414,108.31/714.70
  6. Step 6: Final answer
    x = 579.42

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1.5x scale

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.