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Finding the Fourth Proportional to 1,020.05, 1,529.71 and 442.61

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Solution

The fourth proportional to 1,020.05, 1,529.71 and 442.61 is: 663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.05 : 1,529.71 = 442.61 : x
  2. Step 2: Convert to fraction form
    1,020.05/1,529.71 = 442.61/x
  3. Step 3: Cross multiply
    1,020.05x = 1,529.71 × 442.61
  4. Step 4: Simplify right side
    1,020.05x = 677,056.19
  5. Step 5: Solve for x
    x = 677,056.19/1,020.05
  6. Step 6: Final answer
    x = 663.75

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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.