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Finding the Fourth Proportional to 527.16, 786.48 and 475.22

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Solution

The fourth proportional to 527.16, 786.48 and 475.22 is: 708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.16 : 786.48 = 475.22 : x
  2. Step 2: Convert to fraction form
    527.16/786.48 = 475.22/x
  3. Step 3: Cross multiply
    527.16x = 786.48 × 475.22
  4. Step 4: Simplify right side
    527.16x = 373,750.80
  5. Step 5: Solve for x
    x = 373,750.80/527.16
  6. Step 6: Final answer
    x = 708.99

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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.