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Finding the Fourth Proportional to 602.10, 833.09 and 524.66

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Solution

The fourth proportional to 602.10, 833.09 and 524.66 is: 725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.10 : 833.09 = 524.66 : x
  2. Step 2: Convert to fraction form
    602.10/833.09 = 524.66/x
  3. Step 3: Cross multiply
    602.10x = 833.09 × 524.66
  4. Step 4: Simplify right side
    602.10x = 437,082.21
  5. Step 5: Solve for x
    x = 437,082.21/602.10
  6. Step 6: Final answer
    x = 725.93

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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.