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Finding the Fourth Proportional to 524.05, 785.01 and 420.78

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Solution

The fourth proportional to 524.05, 785.01 and 420.78 is: 630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.05 : 785.01 = 420.78 : x
  2. Step 2: Convert to fraction form
    524.05/785.01 = 420.78/x
  3. Step 3: Cross multiply
    524.05x = 785.01 × 420.78
  4. Step 4: Simplify right side
    524.05x = 330,316.51
  5. Step 5: Solve for x
    x = 330,316.51/524.05
  6. Step 6: Final answer
    x = 630.31

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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.