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Finding the Fourth Proportional to 642.68, 887.86 and 606.23

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Solution

The fourth proportional to 642.68, 887.86 and 606.23 is: 837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.68 : 887.86 = 606.23 : x
  2. Step 2: Convert to fraction form
    642.68/887.86 = 606.23/x
  3. Step 3: Cross multiply
    642.68x = 887.86 × 606.23
  4. Step 4: Simplify right side
    642.68x = 538,247.02
  5. Step 5: Solve for x
    x = 538,247.02/642.68
  6. Step 6: Final answer
    x = 837.51

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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.