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Finding the Fourth Proportional to 524.79, 785.97 and 402.12

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Solution

The fourth proportional to 524.79, 785.97 and 402.12 is: 602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.79 : 785.97 = 402.12 : x
  2. Step 2: Convert to fraction form
    524.79/785.97 = 402.12/x
  3. Step 3: Cross multiply
    524.79x = 785.97 × 402.12
  4. Step 4: Simplify right side
    524.79x = 316,054.26
  5. Step 5: Solve for x
    x = 316,054.26/524.79
  6. Step 6: Final answer
    x = 602.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.