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Finding the Fourth Proportional to 794.10, 1,189.35 and 470.10

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Solution

The fourth proportional to 794.10, 1,189.35 and 470.10 is: 704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.10 : 1,189.35 = 470.10 : x
  2. Step 2: Convert to fraction form
    794.10/1,189.35 = 470.10/x
  3. Step 3: Cross multiply
    794.10x = 1,189.35 × 470.10
  4. Step 4: Simplify right side
    794.10x = 559,113.44
  5. Step 5: Solve for x
    x = 559,113.44/794.10
  6. Step 6: Final answer
    x = 704.08

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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.