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Finding the Fourth Proportional to 510.80, 705.12 and 324.30

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Solution

The fourth proportional to 510.80, 705.12 and 324.30 is: 447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.80 : 705.12 = 324.30 : x
  2. Step 2: Convert to fraction form
    510.80/705.12 = 324.30/x
  3. Step 3: Cross multiply
    510.80x = 705.12 × 324.30
  4. Step 4: Simplify right side
    510.80x = 228,670.42
  5. Step 5: Solve for x
    x = 228,670.42/510.80
  6. Step 6: Final answer
    x = 447.67

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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.