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Finding the Fourth Proportional to 526.75, 786.02 and 472.09

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Solution

The fourth proportional to 526.75, 786.02 and 472.09 is: 704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.75 : 786.02 = 472.09 : x
  2. Step 2: Convert to fraction form
    526.75/786.02 = 472.09/x
  3. Step 3: Cross multiply
    526.75x = 786.02 × 472.09
  4. Step 4: Simplify right side
    526.75x = 371,072.18
  5. Step 5: Solve for x
    x = 371,072.18/526.75
  6. Step 6: Final answer
    x = 704.46

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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.