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Finding the Fourth Proportional to 623.48, 935.23 and 298.77

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Solution

The fourth proportional to 623.48, 935.23 and 298.77 is: 448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.48 : 935.23 = 298.77 : x
  2. Step 2: Convert to fraction form
    623.48/935.23 = 298.77/x
  3. Step 3: Cross multiply
    623.48x = 935.23 × 298.77
  4. Step 4: Simplify right side
    623.48x = 279,416.34
  5. Step 5: Solve for x
    x = 279,416.34/623.48
  6. Step 6: Final answer
    x = 448.16

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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.