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Finding the Fourth Proportional to 476.20, 710.45 and 415.45

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Solution

The fourth proportional to 476.20, 710.45 and 415.45 is: 619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.20 : 710.45 = 415.45 : x
  2. Step 2: Convert to fraction form
    476.20/710.45 = 415.45/x
  3. Step 3: Cross multiply
    476.20x = 710.45 × 415.45
  4. Step 4: Simplify right side
    476.20x = 295,156.45
  5. Step 5: Solve for x
    x = 295,156.45/476.20
  6. Step 6: Final answer
    x = 619.82

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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.