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Finding the Fourth Proportional to 476.58, 658.94 and 469.60

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Solution

The fourth proportional to 476.58, 658.94 and 469.60 is: 649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.58 : 658.94 = 469.60 : x
  2. Step 2: Convert to fraction form
    476.58/658.94 = 469.60/x
  3. Step 3: Cross multiply
    476.58x = 658.94 × 469.60
  4. Step 4: Simplify right side
    476.58x = 309,434.23
  5. Step 5: Solve for x
    x = 309,434.23/476.58
  6. Step 6: Final answer
    x = 649.28

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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.