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Finding the Fourth Proportional to 1,431.98, 2,148.04 and 457.85

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Solution

The fourth proportional to 1,431.98, 2,148.04 and 457.85 is: 686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.98 : 2,148.04 = 457.85 : x
  2. Step 2: Convert to fraction form
    1,431.98/2,148.04 = 457.85/x
  3. Step 3: Cross multiply
    1,431.98x = 2,148.04 × 457.85
  4. Step 4: Simplify right side
    1,431.98x = 983,480.11
  5. Step 5: Solve for x
    x = 983,480.11/1,431.98
  6. Step 6: Final answer
    x = 686.80

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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.