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Finding the Fourth Proportional to 642.63, 886.85 and 377.07

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Solution

The fourth proportional to 642.63, 886.85 and 377.07 is: 520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.63 : 886.85 = 377.07 : x
  2. Step 2: Convert to fraction form
    642.63/886.85 = 377.07/x
  3. Step 3: Cross multiply
    642.63x = 886.85 × 377.07
  4. Step 4: Simplify right side
    642.63x = 334,407.84
  5. Step 5: Solve for x
    x = 334,407.84/642.63
  6. Step 6: Final answer
    x = 520.38

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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.