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Finding the Fourth Proportional to 665.40, 917.10 and 610.68

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Solution

The fourth proportional to 665.40, 917.10 and 610.68 is: 841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.40 : 917.10 = 610.68 : x
  2. Step 2: Convert to fraction form
    665.40/917.10 = 610.68/x
  3. Step 3: Cross multiply
    665.40x = 917.10 × 610.68
  4. Step 4: Simplify right side
    665.40x = 560,054.63
  5. Step 5: Solve for x
    x = 560,054.63/665.40
  6. Step 6: Final answer
    x = 841.68

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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.