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Finding the Fourth Proportional to 654.94, 980.45 and 501.45

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Solution

The fourth proportional to 654.94, 980.45 and 501.45 is: 750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.94 : 980.45 = 501.45 : x
  2. Step 2: Convert to fraction form
    654.94/980.45 = 501.45/x
  3. Step 3: Cross multiply
    654.94x = 980.45 × 501.45
  4. Step 4: Simplify right side
    654.94x = 491,646.65
  5. Step 5: Solve for x
    x = 491,646.65/654.94
  6. Step 6: Final answer
    x = 750.67

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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.