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Finding the Fourth Proportional to 1,297.77, 1,946.91 and 420.49

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Solution

The fourth proportional to 1,297.77, 1,946.91 and 420.49 is: 630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.77 : 1,946.91 = 420.49 : x
  2. Step 2: Convert to fraction form
    1,297.77/1,946.91 = 420.49/x
  3. Step 3: Cross multiply
    1,297.77x = 1,946.91 × 420.49
  4. Step 4: Simplify right side
    1,297.77x = 818,654.08
  5. Step 5: Solve for x
    x = 818,654.08/1,297.77
  6. Step 6: Final answer
    x = 630.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.