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Finding the Fourth Proportional to 1,652.17, 2,478.14 and 611.69

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Solution

The fourth proportional to 1,652.17, 2,478.14 and 611.69 is: 917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.17 : 2,478.14 = 611.69 : x
  2. Step 2: Convert to fraction form
    1,652.17/2,478.14 = 611.69/x
  3. Step 3: Cross multiply
    1,652.17x = 2,478.14 × 611.69
  4. Step 4: Simplify right side
    1,652.17x = 1,515,855.79
  5. Step 5: Solve for x
    x = 1,515,855.79/1,652.17
  6. Step 6: Final answer
    x = 917.49

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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.