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Finding the Fourth Proportional to 628.16, 940.41 and 592.92

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Solution

The fourth proportional to 628.16, 940.41 and 592.92 is: 887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.16 : 940.41 = 592.92 : x
  2. Step 2: Convert to fraction form
    628.16/940.41 = 592.92/x
  3. Step 3: Cross multiply
    628.16x = 940.41 × 592.92
  4. Step 4: Simplify right side
    628.16x = 557,587.90
  5. Step 5: Solve for x
    x = 557,587.90/628.16
  6. Step 6: Final answer
    x = 887.66

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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.