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Finding the Fourth Proportional to 476.95, 716.56 and 312.56

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Solution

The fourth proportional to 476.95, 716.56 and 312.56 is: 469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.95 : 716.56 = 312.56 : x
  2. Step 2: Convert to fraction form
    476.95/716.56 = 312.56/x
  3. Step 3: Cross multiply
    476.95x = 716.56 × 312.56
  4. Step 4: Simplify right side
    476.95x = 223,967.99
  5. Step 5: Solve for x
    x = 223,967.99/476.95
  6. Step 6: Final answer
    x = 469.58

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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.