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Finding the Fourth Proportional to 623.57, 933.80 and 298.13

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Solution

The fourth proportional to 623.57, 933.80 and 298.13 is: 446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.57 : 933.80 = 298.13 : x
  2. Step 2: Convert to fraction form
    623.57/933.80 = 298.13/x
  3. Step 3: Cross multiply
    623.57x = 933.80 × 298.13
  4. Step 4: Simplify right side
    623.57x = 278,387.63
  5. Step 5: Solve for x
    x = 278,387.63/623.57
  6. Step 6: Final answer
    x = 446.45

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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.