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Finding the Fourth Proportional to 714.02, 985.64 and 451.99

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Solution

The fourth proportional to 714.02, 985.64 and 451.99 is: 623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.02 : 985.64 = 451.99 : x
  2. Step 2: Convert to fraction form
    714.02/985.64 = 451.99/x
  3. Step 3: Cross multiply
    714.02x = 985.64 × 451.99
  4. Step 4: Simplify right side
    714.02x = 445,494.70
  5. Step 5: Solve for x
    x = 445,494.70/714.02
  6. Step 6: Final answer
    x = 623.92

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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.