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Finding the Fourth Proportional to 508.40, 701.64 and 287.42

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Solution

The fourth proportional to 508.40, 701.64 and 287.42 is: 396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.40 : 701.64 = 287.42 : x
  2. Step 2: Convert to fraction form
    508.40/701.64 = 287.42/x
  3. Step 3: Cross multiply
    508.40x = 701.64 × 287.42
  4. Step 4: Simplify right side
    508.40x = 201,665.37
  5. Step 5: Solve for x
    x = 201,665.37/508.40
  6. Step 6: Final answer
    x = 396.67

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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.