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Finding the Fourth Proportional to 677.62, 932.93 and 602.58

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Solution

The fourth proportional to 677.62, 932.93 and 602.58 is: 829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.62 : 932.93 = 602.58 : x
  2. Step 2: Convert to fraction form
    677.62/932.93 = 602.58/x
  3. Step 3: Cross multiply
    677.62x = 932.93 × 602.58
  4. Step 4: Simplify right side
    677.62x = 562,164.96
  5. Step 5: Solve for x
    x = 562,164.96/677.62
  6. Step 6: Final answer
    x = 829.62

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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.