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Finding the Fourth Proportional to 510.60, 765.98 and 319.08

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Solution

The fourth proportional to 510.60, 765.98 and 319.08 is: 478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.60 : 765.98 = 319.08 : x
  2. Step 2: Convert to fraction form
    510.60/765.98 = 319.08/x
  3. Step 3: Cross multiply
    510.60x = 765.98 × 319.08
  4. Step 4: Simplify right side
    510.60x = 244,408.90
  5. Step 5: Solve for x
    x = 244,408.90/510.60
  6. Step 6: Final answer
    x = 478.67

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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.