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Finding the Fourth Proportional to 1,047.82, 1,572.41 and 554.68

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Solution

The fourth proportional to 1,047.82, 1,572.41 and 554.68 is: 832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.82 : 1,572.41 = 554.68 : x
  2. Step 2: Convert to fraction form
    1,047.82/1,572.41 = 554.68/x
  3. Step 3: Cross multiply
    1,047.82x = 1,572.41 × 554.68
  4. Step 4: Simplify right side
    1,047.82x = 872,184.38
  5. Step 5: Solve for x
    x = 872,184.38/1,047.82
  6. Step 6: Final answer
    x = 832.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.