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Finding the Fourth Proportional to 1,545.79, 2,319.21 and 851.58

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Solution

The fourth proportional to 1,545.79, 2,319.21 and 851.58 is: 1,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.79 : 2,319.21 = 851.58 : x
  2. Step 2: Convert to fraction form
    1,545.79/2,319.21 = 851.58/x
  3. Step 3: Cross multiply
    1,545.79x = 2,319.21 × 851.58
  4. Step 4: Simplify right side
    1,545.79x = 1,974,992.85
  5. Step 5: Solve for x
    x = 1,974,992.85/1,545.79
  6. Step 6: Final answer
    x = 1,277.66

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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.