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Finding the Fourth Proportional to 824.16, 1,235.52 and 608.64

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Solution

The fourth proportional to 824.16, 1,235.52 and 608.64 is: 912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.16 : 1,235.52 = 608.64 : x
  2. Step 2: Convert to fraction form
    824.16/1,235.52 = 608.64/x
  3. Step 3: Cross multiply
    824.16x = 1,235.52 × 608.64
  4. Step 4: Simplify right side
    824.16x = 751,986.89
  5. Step 5: Solve for x
    x = 751,986.89/824.16
  6. Step 6: Final answer
    x = 912.43

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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.