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Finding the Fourth Proportional to 423, 582.39 and 403.50

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Solution

The fourth proportional to 423, 582.39 and 403.50 is: 555.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    423 : 582.39 = 403.50 : x
  2. Step 2: Convert to fraction form
    423/582.39 = 403.50/x
  3. Step 3: Cross multiply
    423x = 582.39 × 403.50
  4. Step 4: Simplify right side
    423x = 234,994.37
  5. Step 5: Solve for x
    x = 234,994.37/423
  6. Step 6: Final answer
    x = 555.54

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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.