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Finding the Fourth Proportional to 508.68, 697.41 and 508.14

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Solution

The fourth proportional to 508.68, 697.41 and 508.14 is: 696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.68 : 697.41 = 508.14 : x
  2. Step 2: Convert to fraction form
    508.68/697.41 = 508.14/x
  3. Step 3: Cross multiply
    508.68x = 697.41 × 508.14
  4. Step 4: Simplify right side
    508.68x = 354,381.92
  5. Step 5: Solve for x
    x = 354,381.92/508.68
  6. Step 6: Final answer
    x = 696.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.