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Finding the Fourth Proportional to 1,297.85, 1,946.88 and 557.49

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Solution

The fourth proportional to 1,297.85, 1,946.88 and 557.49 is: 836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.85 : 1,946.88 = 557.49 : x
  2. Step 2: Convert to fraction form
    1,297.85/1,946.88 = 557.49/x
  3. Step 3: Cross multiply
    1,297.85x = 1,946.88 × 557.49
  4. Step 4: Simplify right side
    1,297.85x = 1,085,366.13
  5. Step 5: Solve for x
    x = 1,085,366.13/1,297.85
  6. Step 6: Final answer
    x = 836.28

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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.