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Finding the Fourth Proportional to 1,642.12, 2,462.45 and 471.86

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Solution

The fourth proportional to 1,642.12, 2,462.45 and 471.86 is: 707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.12 : 2,462.45 = 471.86 : x
  2. Step 2: Convert to fraction form
    1,642.12/2,462.45 = 471.86/x
  3. Step 3: Cross multiply
    1,642.12x = 2,462.45 × 471.86
  4. Step 4: Simplify right side
    1,642.12x = 1,161,926.22
  5. Step 5: Solve for x
    x = 1,161,926.22/1,642.12
  6. Step 6: Final answer
    x = 707.58

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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.