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Finding the Fourth Proportional to 613.42, 924.26 and 547.10

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Solution

The fourth proportional to 613.42, 924.26 and 547.10 is: 824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.42 : 924.26 = 547.10 : x
  2. Step 2: Convert to fraction form
    613.42/924.26 = 547.10/x
  3. Step 3: Cross multiply
    613.42x = 924.26 × 547.10
  4. Step 4: Simplify right side
    613.42x = 505,667.03
  5. Step 5: Solve for x
    x = 505,667.03/613.42
  6. Step 6: Final answer
    x = 824.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.