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Finding the Fourth Proportional to 611.42, 916.46 and 403.10

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Solution

The fourth proportional to 611.42, 916.46 and 403.10 is: 604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.42 : 916.46 = 403.10 : x
  2. Step 2: Convert to fraction form
    611.42/916.46 = 403.10/x
  3. Step 3: Cross multiply
    611.42x = 916.46 × 403.10
  4. Step 4: Simplify right side
    611.42x = 369,425.03
  5. Step 5: Solve for x
    x = 369,425.03/611.42
  6. Step 6: Final answer
    x = 604.21

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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.