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Finding the Fourth Proportional to 623.12, 933.60 and 314.24

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Solution

The fourth proportional to 623.12, 933.60 and 314.24 is: 470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.12 : 933.60 = 314.24 : x
  2. Step 2: Convert to fraction form
    623.12/933.60 = 314.24/x
  3. Step 3: Cross multiply
    623.12x = 933.60 × 314.24
  4. Step 4: Simplify right side
    623.12x = 293,374.46
  5. Step 5: Solve for x
    x = 293,374.46/623.12
  6. Step 6: Final answer
    x = 470.82

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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.