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Finding the Fourth Proportional to 1,082.77, 1,492.63 and 780.03

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Solution

The fourth proportional to 1,082.77, 1,492.63 and 780.03 is: 1,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.77 : 1,492.63 = 780.03 : x
  2. Step 2: Convert to fraction form
    1,082.77/1,492.63 = 780.03/x
  3. Step 3: Cross multiply
    1,082.77x = 1,492.63 × 780.03
  4. Step 4: Simplify right side
    1,082.77x = 1,164,294.23
  5. Step 5: Solve for x
    x = 1,164,294.23/1,082.77
  6. Step 6: Final answer
    x = 1,075.29

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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.