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Finding the Fourth Proportional to 507.70, 758.57 and 389.89

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Solution

The fourth proportional to 507.70, 758.57 and 389.89 is: 582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.70 : 758.57 = 389.89 : x
  2. Step 2: Convert to fraction form
    507.70/758.57 = 389.89/x
  3. Step 3: Cross multiply
    507.70x = 758.57 × 389.89
  4. Step 4: Simplify right side
    507.70x = 295,758.86
  5. Step 5: Solve for x
    x = 295,758.86/507.70
  6. Step 6: Final answer
    x = 582.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.