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Finding the Fourth Proportional to 476.63, 714.82 and 202.58

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Solution

The fourth proportional to 476.63, 714.82 and 202.58 is: 303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.63 : 714.82 = 202.58 : x
  2. Step 2: Convert to fraction form
    476.63/714.82 = 202.58/x
  3. Step 3: Cross multiply
    476.63x = 714.82 × 202.58
  4. Step 4: Simplify right side
    476.63x = 144,808.24
  5. Step 5: Solve for x
    x = 144,808.24/476.63
  6. Step 6: Final answer
    x = 303.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.