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Finding the Fourth Proportional to 674.90, 929.86 and 506.14

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Solution

The fourth proportional to 674.90, 929.86 and 506.14 is: 697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.90 : 929.86 = 506.14 : x
  2. Step 2: Convert to fraction form
    674.90/929.86 = 506.14/x
  3. Step 3: Cross multiply
    674.90x = 929.86 × 506.14
  4. Step 4: Simplify right side
    674.90x = 470,639.34
  5. Step 5: Solve for x
    x = 470,639.34/674.90
  6. Step 6: Final answer
    x = 697.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.