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Finding the Fourth Proportional to 1,347.94, 2,021.26 and 470.42

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Solution

The fourth proportional to 1,347.94, 2,021.26 and 470.42 is: 705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.94 : 2,021.26 = 470.42 : x
  2. Step 2: Convert to fraction form
    1,347.94/2,021.26 = 470.42/x
  3. Step 3: Cross multiply
    1,347.94x = 2,021.26 × 470.42
  4. Step 4: Simplify right side
    1,347.94x = 950,841.13
  5. Step 5: Solve for x
    x = 950,841.13/1,347.94
  6. Step 6: Final answer
    x = 705.40

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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.