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Finding the Fourth Proportional to 623.24, 933.66 and 470.16

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Solution

The fourth proportional to 623.24, 933.66 and 470.16 is: 704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.24 : 933.66 = 470.16 : x
  2. Step 2: Convert to fraction form
    623.24/933.66 = 470.16/x
  3. Step 3: Cross multiply
    623.24x = 933.66 × 470.16
  4. Step 4: Simplify right side
    623.24x = 438,969.59
  5. Step 5: Solve for x
    x = 438,969.59/623.24
  6. Step 6: Final answer
    x = 704.33

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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.