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Finding the Fourth Proportional to 525.76, 786.98 and 319.67

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Solution

The fourth proportional to 525.76, 786.98 and 319.67 is: 478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.76 : 786.98 = 319.67 : x
  2. Step 2: Convert to fraction form
    525.76/786.98 = 319.67/x
  3. Step 3: Cross multiply
    525.76x = 786.98 × 319.67
  4. Step 4: Simplify right side
    525.76x = 251,570.76
  5. Step 5: Solve for x
    x = 251,570.76/525.76
  6. Step 6: Final answer
    x = 478.49

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1.5x scale

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.