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Finding the Fourth Proportional to 1,053.05, 1,576.44 and 780.35

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Solution

The fourth proportional to 1,053.05, 1,576.44 and 780.35 is: 1,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.05 : 1,576.44 = 780.35 : x
  2. Step 2: Convert to fraction form
    1,053.05/1,576.44 = 780.35/x
  3. Step 3: Cross multiply
    1,053.05x = 1,576.44 × 780.35
  4. Step 4: Simplify right side
    1,053.05x = 1,230,167.07
  5. Step 5: Solve for x
    x = 1,230,167.07/1,053.05
  6. Step 6: Final answer
    x = 1,168.20

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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.