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Finding the Fourth Proportional to 937.89, 1,293.08 and 642.63

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Solution

The fourth proportional to 937.89, 1,293.08 and 642.63 is: 886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.89 : 1,293.08 = 642.63 : x
  2. Step 2: Convert to fraction form
    937.89/1,293.08 = 642.63/x
  3. Step 3: Cross multiply
    937.89x = 1,293.08 × 642.63
  4. Step 4: Simplify right side
    937.89x = 830,968.79
  5. Step 5: Solve for x
    x = 830,968.79/937.89
  6. Step 6: Final answer
    x = 886.00

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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.