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Finding the Fourth Proportional to 526.78, 785.99 and 472.06

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Solution

The fourth proportional to 526.78, 785.99 and 472.06 is: 704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.78 : 785.99 = 472.06 : x
  2. Step 2: Convert to fraction form
    526.78/785.99 = 472.06/x
  3. Step 3: Cross multiply
    526.78x = 785.99 × 472.06
  4. Step 4: Simplify right side
    526.78x = 371,034.44
  5. Step 5: Solve for x
    x = 371,034.44/526.78
  6. Step 6: Final answer
    x = 704.34

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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.