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Finding the Fourth Proportional to 1,018.49, 1,528.08 and 433.64

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Solution

The fourth proportional to 1,018.49, 1,528.08 and 433.64 is: 650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.49 : 1,528.08 = 433.64 : x
  2. Step 2: Convert to fraction form
    1,018.49/1,528.08 = 433.64/x
  3. Step 3: Cross multiply
    1,018.49x = 1,528.08 × 433.64
  4. Step 4: Simplify right side
    1,018.49x = 662,636.61
  5. Step 5: Solve for x
    x = 662,636.61/1,018.49
  6. Step 6: Final answer
    x = 650.61

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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.