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Finding the Fourth Proportional to 1,029.70, 1,419.37 and 780.02

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Solution

The fourth proportional to 1,029.70, 1,419.37 and 780.02 is: 1,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.70 : 1,419.37 = 780.02 : x
  2. Step 2: Convert to fraction form
    1,029.70/1,419.37 = 780.02/x
  3. Step 3: Cross multiply
    1,029.70x = 1,419.37 × 780.02
  4. Step 4: Simplify right side
    1,029.70x = 1,107,127.94
  5. Step 5: Solve for x
    x = 1,107,127.94/1,029.70
  6. Step 6: Final answer
    x = 1,075.20

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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.