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Finding the Fourth Proportional to 601, 829.20 and 476.68

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Solution

The fourth proportional to 601, 829.20 and 476.68 is: 657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601 : 829.20 = 476.68 : x
  2. Step 2: Convert to fraction form
    601/829.20 = 476.68/x
  3. Step 3: Cross multiply
    601x = 829.20 × 476.68
  4. Step 4: Simplify right side
    601x = 395,263.06
  5. Step 5: Solve for x
    x = 395,263.06/601
  6. Step 6: Final answer
    x = 657.68

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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.