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Finding the Fourth Proportional to 480.78, 663.30 and 315.06

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Solution

The fourth proportional to 480.78, 663.30 and 315.06 is: 434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.78 : 663.30 = 315.06 : x
  2. Step 2: Convert to fraction form
    480.78/663.30 = 315.06/x
  3. Step 3: Cross multiply
    480.78x = 663.30 × 315.06
  4. Step 4: Simplify right side
    480.78x = 208,979.30
  5. Step 5: Solve for x
    x = 208,979.30/480.78
  6. Step 6: Final answer
    x = 434.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.