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Finding the Fourth Proportional to 405.52, 607.80 and 289.84

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Solution

The fourth proportional to 405.52, 607.80 and 289.84 is: 434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.52 : 607.80 = 289.84 : x
  2. Step 2: Convert to fraction form
    405.52/607.80 = 289.84/x
  3. Step 3: Cross multiply
    405.52x = 607.80 × 289.84
  4. Step 4: Simplify right side
    405.52x = 176,164.75
  5. Step 5: Solve for x
    x = 176,164.75/405.52
  6. Step 6: Final answer
    x = 434.42

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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.