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Finding the Fourth Proportional to 714.50, 986.10 and 482.12

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Solution

The fourth proportional to 714.50, 986.10 and 482.12 is: 665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.50 : 986.10 = 482.12 : x
  2. Step 2: Convert to fraction form
    714.50/986.10 = 482.12/x
  3. Step 3: Cross multiply
    714.50x = 986.10 × 482.12
  4. Step 4: Simplify right side
    714.50x = 475,418.53
  5. Step 5: Solve for x
    x = 475,418.53/714.50
  6. Step 6: Final answer
    x = 665.39

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Double scale
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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.