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Finding the Fourth Proportional to 407.50, 609.64 and 284.93

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Solution

The fourth proportional to 407.50, 609.64 and 284.93 is: 426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.50 : 609.64 = 284.93 : x
  2. Step 2: Convert to fraction form
    407.50/609.64 = 284.93/x
  3. Step 3: Cross multiply
    407.50x = 609.64 × 284.93
  4. Step 4: Simplify right side
    407.50x = 173,703.25
  5. Step 5: Solve for x
    x = 173,703.25/407.50
  6. Step 6: Final answer
    x = 426.27

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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.