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Finding the Fourth Proportional to 502.70, 693.63 and 478.08

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Solution

The fourth proportional to 502.70, 693.63 and 478.08 is: 659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.70 : 693.63 = 478.08 : x
  2. Step 2: Convert to fraction form
    502.70/693.63 = 478.08/x
  3. Step 3: Cross multiply
    502.70x = 693.63 × 478.08
  4. Step 4: Simplify right side
    502.70x = 331,610.63
  5. Step 5: Solve for x
    x = 331,610.63/502.70
  6. Step 6: Final answer
    x = 659.67

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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.