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Finding the Fourth Proportional to 1,610.55, 2,416.01 and 514.66

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Solution

The fourth proportional to 1,610.55, 2,416.01 and 514.66 is: 772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.55 : 2,416.01 = 514.66 : x
  2. Step 2: Convert to fraction form
    1,610.55/2,416.01 = 514.66/x
  3. Step 3: Cross multiply
    1,610.55x = 2,416.01 × 514.66
  4. Step 4: Simplify right side
    1,610.55x = 1,243,423.71
  5. Step 5: Solve for x
    x = 1,243,423.71/1,610.55
  6. Step 6: Final answer
    x = 772.05

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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.