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Finding the Fourth Proportional to 718.50, 1,078.52 and 307.83

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Solution

The fourth proportional to 718.50, 1,078.52 and 307.83 is: 462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.50 : 1,078.52 = 307.83 : x
  2. Step 2: Convert to fraction form
    718.50/1,078.52 = 307.83/x
  3. Step 3: Cross multiply
    718.50x = 1,078.52 × 307.83
  4. Step 4: Simplify right side
    718.50x = 331,999.27
  5. Step 5: Solve for x
    x = 331,999.27/718.50
  6. Step 6: Final answer
    x = 462.07

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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.