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Finding the Fourth Proportional to 947.72, 1,307.86 and 554.67

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Solution

The fourth proportional to 947.72, 1,307.86 and 554.67 is: 765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.72 : 1,307.86 = 554.67 : x
  2. Step 2: Convert to fraction form
    947.72/1,307.86 = 554.67/x
  3. Step 3: Cross multiply
    947.72x = 1,307.86 × 554.67
  4. Step 4: Simplify right side
    947.72x = 725,430.71
  5. Step 5: Solve for x
    x = 725,430.71/947.72
  6. Step 6: Final answer
    x = 765.45

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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.