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Finding the Fourth Proportional to 1,297.70, 1,946.27 and 373.06

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Solution

The fourth proportional to 1,297.70, 1,946.27 and 373.06 is: 559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.70 : 1,946.27 = 373.06 : x
  2. Step 2: Convert to fraction form
    1,297.70/1,946.27 = 373.06/x
  3. Step 3: Cross multiply
    1,297.70x = 1,946.27 × 373.06
  4. Step 4: Simplify right side
    1,297.70x = 726,066.85
  5. Step 5: Solve for x
    x = 726,066.85/1,297.70
  6. Step 6: Final answer
    x = 559.50

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1.5x scale

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.