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Finding the Fourth Proportional to 1,119.71, 1,677.85 and 470.09

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Solution

The fourth proportional to 1,119.71, 1,677.85 and 470.09 is: 704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.71 : 1,677.85 = 470.09 : x
  2. Step 2: Convert to fraction form
    1,119.71/1,677.85 = 470.09/x
  3. Step 3: Cross multiply
    1,119.71x = 1,677.85 × 470.09
  4. Step 4: Simplify right side
    1,119.71x = 788,740.51
  5. Step 5: Solve for x
    x = 788,740.51/1,119.71
  6. Step 6: Final answer
    x = 704.41

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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.