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Finding the Fourth Proportional to 824.61, 1,237.13 and 678.60

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Solution

The fourth proportional to 824.61, 1,237.13 and 678.60 is: 1,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.61 : 1,237.13 = 678.60 : x
  2. Step 2: Convert to fraction form
    824.61/1,237.13 = 678.60/x
  3. Step 3: Cross multiply
    824.61x = 1,237.13 × 678.60
  4. Step 4: Simplify right side
    824.61x = 839,516.42
  5. Step 5: Solve for x
    x = 839,516.42/824.61
  6. Step 6: Final answer
    x = 1,018.08

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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.