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Finding the Fourth Proportional to 602.35, 833.43 and 524.89

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Solution

The fourth proportional to 602.35, 833.43 and 524.89 is: 726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.35 : 833.43 = 524.89 : x
  2. Step 2: Convert to fraction form
    602.35/833.43 = 524.89/x
  3. Step 3: Cross multiply
    602.35x = 833.43 × 524.89
  4. Step 4: Simplify right side
    602.35x = 437,459.07
  5. Step 5: Solve for x
    x = 437,459.07/602.35
  6. Step 6: Final answer
    x = 726.25

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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.