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Finding the Fourth Proportional to 947.66, 1,307.73 and 554.72

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Solution

The fourth proportional to 947.66, 1,307.73 and 554.72 is: 765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.66 : 1,307.73 = 554.72 : x
  2. Step 2: Convert to fraction form
    947.66/1,307.73 = 554.72/x
  3. Step 3: Cross multiply
    947.66x = 1,307.73 × 554.72
  4. Step 4: Simplify right side
    947.66x = 725,423.99
  5. Step 5: Solve for x
    x = 725,423.99/947.66
  6. Step 6: Final answer
    x = 765.49

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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.