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Finding the Fourth Proportional to 1,204.67, 1,662.69 and 707.47

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Solution

The fourth proportional to 1,204.67, 1,662.69 and 707.47 is: 976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.67 : 1,662.69 = 707.47 : x
  2. Step 2: Convert to fraction form
    1,204.67/1,662.69 = 707.47/x
  3. Step 3: Cross multiply
    1,204.67x = 1,662.69 × 707.47
  4. Step 4: Simplify right side
    1,204.67x = 1,176,305.82
  5. Step 5: Solve for x
    x = 1,176,305.82/1,204.67
  6. Step 6: Final answer
    x = 976.45

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1.5x scale

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.