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Finding the Fourth Proportional to 554.31, 826.65 and 472.57

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Solution

The fourth proportional to 554.31, 826.65 and 472.57 is: 704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.31 : 826.65 = 472.57 : x
  2. Step 2: Convert to fraction form
    554.31/826.65 = 472.57/x
  3. Step 3: Cross multiply
    554.31x = 826.65 × 472.57
  4. Step 4: Simplify right side
    554.31x = 390,647.92
  5. Step 5: Solve for x
    x = 390,647.92/554.31
  6. Step 6: Final answer
    x = 704.75

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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.