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Finding the Fourth Proportional to 708.76, 977.96 and 414.08

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Solution

The fourth proportional to 708.76, 977.96 and 414.08 is: 571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.76 : 977.96 = 414.08 : x
  2. Step 2: Convert to fraction form
    708.76/977.96 = 414.08/x
  3. Step 3: Cross multiply
    708.76x = 977.96 × 414.08
  4. Step 4: Simplify right side
    708.76x = 404,953.68
  5. Step 5: Solve for x
    x = 404,953.68/708.76
  6. Step 6: Final answer
    x = 571.36

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1.5x scale

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.