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Finding the Fourth Proportional to 782.02, 1,171.40 and 457.21

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Solution

The fourth proportional to 782.02, 1,171.40 and 457.21 is: 684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.02 : 1,171.40 = 457.21 : x
  2. Step 2: Convert to fraction form
    782.02/1,171.40 = 457.21/x
  3. Step 3: Cross multiply
    782.02x = 1,171.40 × 457.21
  4. Step 4: Simplify right side
    782.02x = 535,569.94
  5. Step 5: Solve for x
    x = 535,569.94/782.02
  6. Step 6: Final answer
    x = 684.86

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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.