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Finding the Fourth Proportional to 1,297.04, 1,945.76 and 475.13

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Solution

The fourth proportional to 1,297.04, 1,945.76 and 475.13 is: 712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.04 : 1,945.76 = 475.13 : x
  2. Step 2: Convert to fraction form
    1,297.04/1,945.76 = 475.13/x
  3. Step 3: Cross multiply
    1,297.04x = 1,945.76 × 475.13
  4. Step 4: Simplify right side
    1,297.04x = 924,488.95
  5. Step 5: Solve for x
    x = 924,488.95/1,297.04
  6. Step 6: Final answer
    x = 712.77

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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.