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Finding the Fourth Proportional to 602.88, 827.20 and 592.64

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Solution

The fourth proportional to 602.88, 827.20 and 592.64 is: 813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.88 : 827.20 = 592.64 : x
  2. Step 2: Convert to fraction form
    602.88/827.20 = 592.64/x
  3. Step 3: Cross multiply
    602.88x = 827.20 × 592.64
  4. Step 4: Simplify right side
    602.88x = 490,231.81
  5. Step 5: Solve for x
    x = 490,231.81/602.88
  6. Step 6: Final answer
    x = 813.15

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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.