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Finding the Fourth Proportional to 947.20, 1,307.06 and 554.18

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Solution

The fourth proportional to 947.20, 1,307.06 and 554.18 is: 764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.20 : 1,307.06 = 554.18 : x
  2. Step 2: Convert to fraction form
    947.20/1,307.06 = 554.18/x
  3. Step 3: Cross multiply
    947.20x = 1,307.06 × 554.18
  4. Step 4: Simplify right side
    947.20x = 724,346.51
  5. Step 5: Solve for x
    x = 724,346.51/947.20
  6. Step 6: Final answer
    x = 764.72

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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.