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Finding the Fourth Proportional to 470.52, 704.53 and 368.01

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Solution

The fourth proportional to 470.52, 704.53 and 368.01 is: 551.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.52 : 704.53 = 368.01 : x
  2. Step 2: Convert to fraction form
    470.52/704.53 = 368.01/x
  3. Step 3: Cross multiply
    470.52x = 704.53 × 368.01
  4. Step 4: Simplify right side
    470.52x = 259,274.09
  5. Step 5: Solve for x
    x = 259,274.09/470.52
  6. Step 6: Final answer
    x = 551.04

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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.