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Finding the Fourth Proportional to 633.62, 873.18 and 515.16

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Solution

The fourth proportional to 633.62, 873.18 and 515.16 is: 709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.62 : 873.18 = 515.16 : x
  2. Step 2: Convert to fraction form
    633.62/873.18 = 515.16/x
  3. Step 3: Cross multiply
    633.62x = 873.18 × 515.16
  4. Step 4: Simplify right side
    633.62x = 449,827.41
  5. Step 5: Solve for x
    x = 449,827.41/633.62
  6. Step 6: Final answer
    x = 709.93

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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.