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Finding the Fourth Proportional to 1,431.89, 2,147.75 and 457.91

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Solution

The fourth proportional to 1,431.89, 2,147.75 and 457.91 is: 686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.89 : 2,147.75 = 457.91 : x
  2. Step 2: Convert to fraction form
    1,431.89/2,147.75 = 457.91/x
  3. Step 3: Cross multiply
    1,431.89x = 2,147.75 × 457.91
  4. Step 4: Simplify right side
    1,431.89x = 983,478.99
  5. Step 5: Solve for x
    x = 983,478.99/1,431.89
  6. Step 6: Final answer
    x = 686.84

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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.