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Finding the Fourth Proportional to 1,204.85, 1,662.67 and 707.40

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Solution

The fourth proportional to 1,204.85, 1,662.67 and 707.40 is: 976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.85 : 1,662.67 = 707.40 : x
  2. Step 2: Convert to fraction form
    1,204.85/1,662.67 = 707.40/x
  3. Step 3: Cross multiply
    1,204.85x = 1,662.67 × 707.40
  4. Step 4: Simplify right side
    1,204.85x = 1,176,172.76
  5. Step 5: Solve for x
    x = 1,176,172.76/1,204.85
  6. Step 6: Final answer
    x = 976.20

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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.