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Finding the Fourth Proportional to 937.51, 1,292.90 and 642.87

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Solution

The fourth proportional to 937.51, 1,292.90 and 642.87 is: 886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.51 : 1,292.90 = 642.87 : x
  2. Step 2: Convert to fraction form
    937.51/1,292.90 = 642.87/x
  3. Step 3: Cross multiply
    937.51x = 1,292.90 × 642.87
  4. Step 4: Simplify right side
    937.51x = 831,166.62
  5. Step 5: Solve for x
    x = 831,166.62/937.51
  6. Step 6: Final answer
    x = 886.57

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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.