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Finding the Fourth Proportional to 709.21, 1,061.91 and 416.47

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Solution

The fourth proportional to 709.21, 1,061.91 and 416.47 is: 623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.21 : 1,061.91 = 416.47 : x
  2. Step 2: Convert to fraction form
    709.21/1,061.91 = 416.47/x
  3. Step 3: Cross multiply
    709.21x = 1,061.91 × 416.47
  4. Step 4: Simplify right side
    709.21x = 442,253.66
  5. Step 5: Solve for x
    x = 442,253.66/709.21
  6. Step 6: Final answer
    x = 623.59

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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.