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Finding the Fourth Proportional to 642.96, 883.55 and 511.74

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Solution

The fourth proportional to 642.96, 883.55 and 511.74 is: 703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.96 : 883.55 = 511.74 : x
  2. Step 2: Convert to fraction form
    642.96/883.55 = 511.74/x
  3. Step 3: Cross multiply
    642.96x = 883.55 × 511.74
  4. Step 4: Simplify right side
    642.96x = 452,149.16
  5. Step 5: Solve for x
    x = 452,149.16/642.96
  6. Step 6: Final answer
    x = 703.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.