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Finding the Fourth Proportional to 1,642.45, 2,461.51 and 668.02

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Solution

The fourth proportional to 1,642.45, 2,461.51 and 668.02 is: 1,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.45 : 2,461.51 = 668.02 : x
  2. Step 2: Convert to fraction form
    1,642.45/2,461.51 = 668.02/x
  3. Step 3: Cross multiply
    1,642.45x = 2,461.51 × 668.02
  4. Step 4: Simplify right side
    1,642.45x = 1,644,337.91
  5. Step 5: Solve for x
    x = 1,644,337.91/1,642.45
  6. Step 6: Final answer
    x = 1,001.15

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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.