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Finding the Fourth Proportional to 665.42, 917.93 and 554.85

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Solution

The fourth proportional to 665.42, 917.93 and 554.85 is: 765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.42 : 917.93 = 554.85 : x
  2. Step 2: Convert to fraction form
    665.42/917.93 = 554.85/x
  3. Step 3: Cross multiply
    665.42x = 917.93 × 554.85
  4. Step 4: Simplify right side
    665.42x = 509,314.85
  5. Step 5: Solve for x
    x = 509,314.85/665.42
  6. Step 6: Final answer
    x = 765.41

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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.