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Finding the Fourth Proportional to 665.34, 918.60 and 465.81

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Solution

The fourth proportional to 665.34, 918.60 and 465.81 is: 643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.34 : 918.60 = 465.81 : x
  2. Step 2: Convert to fraction form
    665.34/918.60 = 465.81/x
  3. Step 3: Cross multiply
    665.34x = 918.60 × 465.81
  4. Step 4: Simplify right side
    665.34x = 427,893.07
  5. Step 5: Solve for x
    x = 427,893.07/665.34
  6. Step 6: Final answer
    x = 643.12

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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.