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Finding the Fourth Proportional to 727.56, 1,088.64 and 623.52

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Solution

The fourth proportional to 727.56, 1,088.64 and 623.52 is: 932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.56 : 1,088.64 = 623.52 : x
  2. Step 2: Convert to fraction form
    727.56/1,088.64 = 623.52/x
  3. Step 3: Cross multiply
    727.56x = 1,088.64 × 623.52
  4. Step 4: Simplify right side
    727.56x = 678,788.81
  5. Step 5: Solve for x
    x = 678,788.81/727.56
  6. Step 6: Final answer
    x = 932.97

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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.