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Finding the Fourth Proportional to 824.04, 1,235.41 and 412.97

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Solution

The fourth proportional to 824.04, 1,235.41 and 412.97 is: 619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.04 : 1,235.41 = 412.97 : x
  2. Step 2: Convert to fraction form
    824.04/1,235.41 = 412.97/x
  3. Step 3: Cross multiply
    824.04x = 1,235.41 × 412.97
  4. Step 4: Simplify right side
    824.04x = 510,187.27
  5. Step 5: Solve for x
    x = 510,187.27/824.04
  6. Step 6: Final answer
    x = 619.13

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1.5x scale

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.