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Finding the Fourth Proportional to 782.02, 1,172.55 and 708.10

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Solution

The fourth proportional to 782.02, 1,172.55 and 708.10 is: 1,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.02 : 1,172.55 = 708.10 : x
  2. Step 2: Convert to fraction form
    782.02/1,172.55 = 708.10/x
  3. Step 3: Cross multiply
    782.02x = 1,172.55 × 708.10
  4. Step 4: Simplify right side
    782.02x = 830,282.66
  5. Step 5: Solve for x
    x = 830,282.66/782.02
  6. Step 6: Final answer
    x = 1,061.72

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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.