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Finding the Fourth Proportional to 642.13, 962.74 and 316.81

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Solution

The fourth proportional to 642.13, 962.74 and 316.81 is: 474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.13 : 962.74 = 316.81 : x
  2. Step 2: Convert to fraction form
    642.13/962.74 = 316.81/x
  3. Step 3: Cross multiply
    642.13x = 962.74 × 316.81
  4. Step 4: Simplify right side
    642.13x = 305,005.48
  5. Step 5: Solve for x
    x = 305,005.48/642.13
  6. Step 6: Final answer
    x = 474.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.