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Finding the Fourth Proportional to 1,431.86, 2,147.58 and 457.74

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Solution

The fourth proportional to 1,431.86, 2,147.58 and 457.74 is: 686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.86 : 2,147.58 = 457.74 : x
  2. Step 2: Convert to fraction form
    1,431.86/2,147.58 = 457.74/x
  3. Step 3: Cross multiply
    1,431.86x = 2,147.58 × 457.74
  4. Step 4: Simplify right side
    1,431.86x = 983,033.27
  5. Step 5: Solve for x
    x = 983,033.27/1,431.86
  6. Step 6: Final answer
    x = 686.55

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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.