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Finding the Fourth Proportional to 1,000.63, 1,500.94 and 616.69

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Solution

The fourth proportional to 1,000.63, 1,500.94 and 616.69 is: 925.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.63 : 1,500.94 = 616.69 : x
  2. Step 2: Convert to fraction form
    1,000.63/1,500.94 = 616.69/x
  3. Step 3: Cross multiply
    1,000.63x = 1,500.94 × 616.69
  4. Step 4: Simplify right side
    1,000.63x = 925,605.64
  5. Step 5: Solve for x
    x = 925,605.64/1,000.63
  6. Step 6: Final answer
    x = 925.03

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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.