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Finding the Fourth Proportional to 661.48, 912.72 and 381.64

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Solution

The fourth proportional to 661.48, 912.72 and 381.64 is: 526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.48 : 912.72 = 381.64 : x
  2. Step 2: Convert to fraction form
    661.48/912.72 = 381.64/x
  3. Step 3: Cross multiply
    661.48x = 912.72 × 381.64
  4. Step 4: Simplify right side
    661.48x = 348,330.46
  5. Step 5: Solve for x
    x = 348,330.46/661.48
  6. Step 6: Final answer
    x = 526.59

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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.