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Finding the Fourth Proportional to 476.78, 710.89 and 429.59

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Solution

The fourth proportional to 476.78, 710.89 and 429.59 is: 640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.78 : 710.89 = 429.59 : x
  2. Step 2: Convert to fraction form
    476.78/710.89 = 429.59/x
  3. Step 3: Cross multiply
    476.78x = 710.89 × 429.59
  4. Step 4: Simplify right side
    476.78x = 305,391.24
  5. Step 5: Solve for x
    x = 305,391.24/476.78
  6. Step 6: Final answer
    x = 640.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.