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Finding the Fourth Proportional to 508.19, 699.39 and 402.94

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Solution

The fourth proportional to 508.19, 699.39 and 402.94 is: 554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.19 : 699.39 = 402.94 : x
  2. Step 2: Convert to fraction form
    508.19/699.39 = 402.94/x
  3. Step 3: Cross multiply
    508.19x = 699.39 × 402.94
  4. Step 4: Simplify right side
    508.19x = 281,812.21
  5. Step 5: Solve for x
    x = 281,812.21/508.19
  6. Step 6: Final answer
    x = 554.54

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Double scale
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1.5x scale

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.