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Finding the Fourth Proportional to 423.07, 583.89 and 305.02

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Solution

The fourth proportional to 423.07, 583.89 and 305.02 is: 420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.07 : 583.89 = 305.02 : x
  2. Step 2: Convert to fraction form
    423.07/583.89 = 305.02/x
  3. Step 3: Cross multiply
    423.07x = 583.89 × 305.02
  4. Step 4: Simplify right side
    423.07x = 178,098.13
  5. Step 5: Solve for x
    x = 178,098.13/423.07
  6. Step 6: Final answer
    x = 420.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.