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Finding the Fourth Proportional to 1,656.25, 2,484.09 and 616.01

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Solution

The fourth proportional to 1,656.25, 2,484.09 and 616.01 is: 923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.25 : 2,484.09 = 616.01 : x
  2. Step 2: Convert to fraction form
    1,656.25/2,484.09 = 616.01/x
  3. Step 3: Cross multiply
    1,656.25x = 2,484.09 × 616.01
  4. Step 4: Simplify right side
    1,656.25x = 1,530,211.86
  5. Step 5: Solve for x
    x = 1,530,211.86/1,656.25
  6. Step 6: Final answer
    x = 923.90

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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.