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Finding the Fourth Proportional to 947.05, 1,307.03 and 554.06

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Solution

The fourth proportional to 947.05, 1,307.03 and 554.06 is: 764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.05 : 1,307.03 = 554.06 : x
  2. Step 2: Convert to fraction form
    947.05/1,307.03 = 554.06/x
  3. Step 3: Cross multiply
    947.05x = 1,307.03 × 554.06
  4. Step 4: Simplify right side
    947.05x = 724,173.54
  5. Step 5: Solve for x
    x = 724,173.54/947.05
  6. Step 6: Final answer
    x = 764.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.