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Finding the Fourth Proportional to 610.64, 914.40 and 336.42

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Solution

The fourth proportional to 610.64, 914.40 and 336.42 is: 503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.64 : 914.40 = 336.42 : x
  2. Step 2: Convert to fraction form
    610.64/914.40 = 336.42/x
  3. Step 3: Cross multiply
    610.64x = 914.40 × 336.42
  4. Step 4: Simplify right side
    610.64x = 307,622.45
  5. Step 5: Solve for x
    x = 307,622.45/610.64
  6. Step 6: Final answer
    x = 503.77

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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.