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Finding the Fourth Proportional to 642.48, 962.51 and 312.81

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Solution

The fourth proportional to 642.48, 962.51 and 312.81 is: 468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.48 : 962.51 = 312.81 : x
  2. Step 2: Convert to fraction form
    642.48/962.51 = 312.81/x
  3. Step 3: Cross multiply
    642.48x = 962.51 × 312.81
  4. Step 4: Simplify right side
    642.48x = 301,081.19
  5. Step 5: Solve for x
    x = 301,081.19/642.48
  6. Step 6: Final answer
    x = 468.62

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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.