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Finding the Fourth Proportional to 782.04, 1,172.70 and 457.32

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Solution

The fourth proportional to 782.04, 1,172.70 and 457.32 is: 685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.04 : 1,172.70 = 457.32 : x
  2. Step 2: Convert to fraction form
    782.04/1,172.70 = 457.32/x
  3. Step 3: Cross multiply
    782.04x = 1,172.70 × 457.32
  4. Step 4: Simplify right side
    782.04x = 536,299.16
  5. Step 5: Solve for x
    x = 536,299.16/782.04
  6. Step 6: Final answer
    x = 685.77

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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.