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Finding the Fourth Proportional to 642.06, 962.69 and 312.34

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Solution

The fourth proportional to 642.06, 962.69 and 312.34 is: 468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.06 : 962.69 = 312.34 : x
  2. Step 2: Convert to fraction form
    642.06/962.69 = 312.34/x
  3. Step 3: Cross multiply
    642.06x = 962.69 × 312.34
  4. Step 4: Simplify right side
    642.06x = 300,686.59
  5. Step 5: Solve for x
    x = 300,686.59/642.06
  6. Step 6: Final answer
    x = 468.32

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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.