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Finding the Fourth Proportional to 507.96, 704.22 and 490.14

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Solution

The fourth proportional to 507.96, 704.22 and 490.14 is: 679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.96 : 704.22 = 490.14 : x
  2. Step 2: Convert to fraction form
    507.96/704.22 = 490.14/x
  3. Step 3: Cross multiply
    507.96x = 704.22 × 490.14
  4. Step 4: Simplify right side
    507.96x = 345,166.39
  5. Step 5: Solve for x
    x = 345,166.39/507.96
  6. Step 6: Final answer
    x = 679.51

Related Problems

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Half scale
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Double scale
Find fourth proportional to 508.96, 705.61 and 491.14
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.