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Finding the Fourth Proportional to 642.63, 887 and 377.13

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Solution

The fourth proportional to 642.63, 887 and 377.13 is: 520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.63 : 887 = 377.13 : x
  2. Step 2: Convert to fraction form
    642.63/887 = 377.13/x
  3. Step 3: Cross multiply
    642.63x = 887 × 377.13
  4. Step 4: Simplify right side
    642.63x = 334,514.31
  5. Step 5: Solve for x
    x = 334,514.31/642.63
  6. Step 6: Final answer
    x = 520.54

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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.