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Finding the Fourth Proportional to 660.63, 990.64 and 314.36

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Solution

The fourth proportional to 660.63, 990.64 and 314.36 is: 471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.63 : 990.64 = 314.36 : x
  2. Step 2: Convert to fraction form
    660.63/990.64 = 314.36/x
  3. Step 3: Cross multiply
    660.63x = 990.64 × 314.36
  4. Step 4: Simplify right side
    660.63x = 311,417.59
  5. Step 5: Solve for x
    x = 311,417.59/660.63
  6. Step 6: Final answer
    x = 471.39

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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.