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Finding the Fourth Proportional to 714.86, 986.98 and 449.40

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Solution

The fourth proportional to 714.86, 986.98 and 449.40 is: 620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.86 : 986.98 = 449.40 : x
  2. Step 2: Convert to fraction form
    714.86/986.98 = 449.40/x
  3. Step 3: Cross multiply
    714.86x = 986.98 × 449.40
  4. Step 4: Simplify right side
    714.86x = 443,548.81
  5. Step 5: Solve for x
    x = 443,548.81/714.86
  6. Step 6: Final answer
    x = 620.47

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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.