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Finding the Fourth Proportional to 527.05, 786.77 and 462.25

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Solution

The fourth proportional to 527.05, 786.77 and 462.25 is: 690.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.05 : 786.77 = 462.25 : x
  2. Step 2: Convert to fraction form
    527.05/786.77 = 462.25/x
  3. Step 3: Cross multiply
    527.05x = 786.77 × 462.25
  4. Step 4: Simplify right side
    527.05x = 363,684.43
  5. Step 5: Solve for x
    x = 363,684.43/527.05
  6. Step 6: Final answer
    x = 690.04

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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.