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Finding the Fourth Proportional to 612.23, 916.31 and 508.75

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Solution

The fourth proportional to 612.23, 916.31 and 508.75 is: 761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.23 : 916.31 = 508.75 : x
  2. Step 2: Convert to fraction form
    612.23/916.31 = 508.75/x
  3. Step 3: Cross multiply
    612.23x = 916.31 × 508.75
  4. Step 4: Simplify right side
    612.23x = 466,171.69
  5. Step 5: Solve for x
    x = 466,171.69/612.23
  6. Step 6: Final answer
    x = 761.44

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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.