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Finding the Fourth Proportional to 917.45, 1,266.06 and 513.61

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Solution

The fourth proportional to 917.45, 1,266.06 and 513.61 is: 708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.45 : 1,266.06 = 513.61 : x
  2. Step 2: Convert to fraction form
    917.45/1,266.06 = 513.61/x
  3. Step 3: Cross multiply
    917.45x = 1,266.06 × 513.61
  4. Step 4: Simplify right side
    917.45x = 650,252.18
  5. Step 5: Solve for x
    x = 650,252.18/917.45
  6. Step 6: Final answer
    x = 708.76

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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.