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Finding the Fourth Proportional to 716.21, 1,072.88 and 471.99

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Solution

The fourth proportional to 716.21, 1,072.88 and 471.99 is: 707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.21 : 1,072.88 = 471.99 : x
  2. Step 2: Convert to fraction form
    716.21/1,072.88 = 471.99/x
  3. Step 3: Cross multiply
    716.21x = 1,072.88 × 471.99
  4. Step 4: Simplify right side
    716.21x = 506,386.27
  5. Step 5: Solve for x
    x = 506,386.27/716.21
  6. Step 6: Final answer
    x = 707.04

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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.