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Finding the Fourth Proportional to 667.94, 916.85 and 592.61

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Solution

The fourth proportional to 667.94, 916.85 and 592.61 is: 813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.94 : 916.85 = 592.61 : x
  2. Step 2: Convert to fraction form
    667.94/916.85 = 592.61/x
  3. Step 3: Cross multiply
    667.94x = 916.85 × 592.61
  4. Step 4: Simplify right side
    667.94x = 543,326.93
  5. Step 5: Solve for x
    x = 543,326.93/667.94
  6. Step 6: Final answer
    x = 813.44

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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.