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Finding the Fourth Proportional to 602.48, 829.49 and 524.82

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Solution

The fourth proportional to 602.48, 829.49 and 524.82 is: 722.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.48 : 829.49 = 524.82 : x
  2. Step 2: Convert to fraction form
    602.48/829.49 = 524.82/x
  3. Step 3: Cross multiply
    602.48x = 829.49 × 524.82
  4. Step 4: Simplify right side
    602.48x = 435,335.40
  5. Step 5: Solve for x
    x = 435,335.40/602.48
  6. Step 6: Final answer
    x = 722.57

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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.