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Finding the Fourth Proportional to 612.49, 916.22 and 509.91

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Solution

The fourth proportional to 612.49, 916.22 and 509.91 is: 762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.49 : 916.22 = 509.91 : x
  2. Step 2: Convert to fraction form
    612.49/916.22 = 509.91/x
  3. Step 3: Cross multiply
    612.49x = 916.22 × 509.91
  4. Step 4: Simplify right side
    612.49x = 467,189.74
  5. Step 5: Solve for x
    x = 467,189.74/612.49
  6. Step 6: Final answer
    x = 762.77

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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.