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Finding the Fourth Proportional to 654.69, 980.55 and 471.51

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Solution

The fourth proportional to 654.69, 980.55 and 471.51 is: 706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.69 : 980.55 = 471.51 : x
  2. Step 2: Convert to fraction form
    654.69/980.55 = 471.51/x
  3. Step 3: Cross multiply
    654.69x = 980.55 × 471.51
  4. Step 4: Simplify right side
    654.69x = 462,339.13
  5. Step 5: Solve for x
    x = 462,339.13/654.69
  6. Step 6: Final answer
    x = 706.20

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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.