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Finding the Fourth Proportional to 405.84, 607.50 and 289.92

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Solution

The fourth proportional to 405.84, 607.50 and 289.92 is: 433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.84 : 607.50 = 289.92 : x
  2. Step 2: Convert to fraction form
    405.84/607.50 = 289.92/x
  3. Step 3: Cross multiply
    405.84x = 607.50 × 289.92
  4. Step 4: Simplify right side
    405.84x = 176,126.40
  5. Step 5: Solve for x
    x = 176,126.40/405.84
  6. Step 6: Final answer
    x = 433.98

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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.