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Finding the Fourth Proportional to 1,545.98, 2,319.12 and 450.05

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Solution

The fourth proportional to 1,545.98, 2,319.12 and 450.05 is: 675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.98 : 2,319.12 = 450.05 : x
  2. Step 2: Convert to fraction form
    1,545.98/2,319.12 = 450.05/x
  3. Step 3: Cross multiply
    1,545.98x = 2,319.12 × 450.05
  4. Step 4: Simplify right side
    1,545.98x = 1,043,708.36
  5. Step 5: Solve for x
    x = 1,043,708.36/1,545.98
  6. Step 6: Final answer
    x = 675.11

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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.