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Finding the Fourth Proportional to 1,030.94, 1,423.06 and 616.94

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Solution

The fourth proportional to 1,030.94, 1,423.06 and 616.94 is: 851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.94 : 1,423.06 = 616.94 : x
  2. Step 2: Convert to fraction form
    1,030.94/1,423.06 = 616.94/x
  3. Step 3: Cross multiply
    1,030.94x = 1,423.06 × 616.94
  4. Step 4: Simplify right side
    1,030.94x = 877,942.64
  5. Step 5: Solve for x
    x = 877,942.64/1,030.94
  6. Step 6: Final answer
    x = 851.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.