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Finding the Fourth Proportional to 1,642.59, 2,461.70 and 775.08

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Solution

The fourth proportional to 1,642.59, 2,461.70 and 775.08 is: 1,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.59 : 2,461.70 = 775.08 : x
  2. Step 2: Convert to fraction form
    1,642.59/2,461.70 = 775.08/x
  3. Step 3: Cross multiply
    1,642.59x = 2,461.70 × 775.08
  4. Step 4: Simplify right side
    1,642.59x = 1,908,010.56
  5. Step 5: Solve for x
    x = 1,908,010.56/1,642.59
  6. Step 6: Final answer
    x = 1,161.59

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1.5x scale

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.