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Finding the Fourth Proportional to 1,030.46, 1,545.77 and 300.05

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Solution

The fourth proportional to 1,030.46, 1,545.77 and 300.05 is: 450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.46 : 1,545.77 = 300.05 : x
  2. Step 2: Convert to fraction form
    1,030.46/1,545.77 = 300.05/x
  3. Step 3: Cross multiply
    1,030.46x = 1,545.77 × 300.05
  4. Step 4: Simplify right side
    1,030.46x = 463,799.06
  5. Step 5: Solve for x
    x = 463,799.06/1,030.46
  6. Step 6: Final answer
    x = 450.09

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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.