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Finding the Fourth Proportional to 716, 1,074.08 and 407.68

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Solution

The fourth proportional to 716, 1,074.08 and 407.68 is: 611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    716 : 1,074.08 = 407.68 : x
  2. Step 2: Convert to fraction form
    716/1,074.08 = 407.68/x
  3. Step 3: Cross multiply
    716x = 1,074.08 × 407.68
  4. Step 4: Simplify right side
    716x = 437,880.93
  5. Step 5: Solve for x
    x = 437,880.93/716
  6. Step 6: Final answer
    x = 611.57

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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.