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Finding the Fourth Proportional to 602.07, 829.94 and 470.85

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Solution

The fourth proportional to 602.07, 829.94 and 470.85 is: 649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.07 : 829.94 = 470.85 : x
  2. Step 2: Convert to fraction form
    602.07/829.94 = 470.85/x
  3. Step 3: Cross multiply
    602.07x = 829.94 × 470.85
  4. Step 4: Simplify right side
    602.07x = 390,777.25
  5. Step 5: Solve for x
    x = 390,777.25/602.07
  6. Step 6: Final answer
    x = 649.06

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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.