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Finding the Fourth Proportional to 507.03, 760.55 and 391.64

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Solution

The fourth proportional to 507.03, 760.55 and 391.64 is: 587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.03 : 760.55 = 391.64 : x
  2. Step 2: Convert to fraction form
    507.03/760.55 = 391.64/x
  3. Step 3: Cross multiply
    507.03x = 760.55 × 391.64
  4. Step 4: Simplify right side
    507.03x = 297,861.75
  5. Step 5: Solve for x
    x = 297,861.75/507.03
  6. Step 6: Final answer
    x = 587.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.