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Finding the Fourth Proportional to 843.55, 1,164.01 and 470.51

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Solution

The fourth proportional to 843.55, 1,164.01 and 470.51 is: 649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.55 : 1,164.01 = 470.51 : x
  2. Step 2: Convert to fraction form
    843.55/1,164.01 = 470.51/x
  3. Step 3: Cross multiply
    843.55x = 1,164.01 × 470.51
  4. Step 4: Simplify right side
    843.55x = 547,680.08
  5. Step 5: Solve for x
    x = 547,680.08/843.55
  6. Step 6: Final answer
    x = 649.26

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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.