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Finding the Fourth Proportional to 612.33, 916.41 and 509.79

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Solution

The fourth proportional to 612.33, 916.41 and 509.79 is: 762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.33 : 916.41 = 509.79 : x
  2. Step 2: Convert to fraction form
    612.33/916.41 = 509.79/x
  3. Step 3: Cross multiply
    612.33x = 916.41 × 509.79
  4. Step 4: Simplify right side
    612.33x = 467,182.00
  5. Step 5: Solve for x
    x = 467,182.00/612.33
  6. Step 6: Final answer
    x = 762.96

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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.