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Finding the Fourth Proportional to 652.69, 898.74 and 616.63

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Solution

The fourth proportional to 652.69, 898.74 and 616.63 is: 849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.69 : 898.74 = 616.63 : x
  2. Step 2: Convert to fraction form
    652.69/898.74 = 616.63/x
  3. Step 3: Cross multiply
    652.69x = 898.74 × 616.63
  4. Step 4: Simplify right side
    652.69x = 554,190.05
  5. Step 5: Solve for x
    x = 554,190.05/652.69
  6. Step 6: Final answer
    x = 849.09

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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.