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Finding the Fourth Proportional to 476.60, 714.38 and 312.19

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Solution

The fourth proportional to 476.60, 714.38 and 312.19 is: 467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.60 : 714.38 = 312.19 : x
  2. Step 2: Convert to fraction form
    476.60/714.38 = 312.19/x
  3. Step 3: Cross multiply
    476.60x = 714.38 × 312.19
  4. Step 4: Simplify right side
    476.60x = 223,018.95
  5. Step 5: Solve for x
    x = 223,018.95/476.60
  6. Step 6: Final answer
    x = 467.94

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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.