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Finding the Fourth Proportional to 782.53, 1,078.52 and 692.01

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Solution

The fourth proportional to 782.53, 1,078.52 and 692.01 is: 953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.53 : 1,078.52 = 692.01 : x
  2. Step 2: Convert to fraction form
    782.53/1,078.52 = 692.01/x
  3. Step 3: Cross multiply
    782.53x = 1,078.52 × 692.01
  4. Step 4: Simplify right side
    782.53x = 746,343.17
  5. Step 5: Solve for x
    x = 746,343.17/782.53
  6. Step 6: Final answer
    x = 953.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.