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Finding the Fourth Proportional to 874.52, 1,310.10 and 777.56

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Solution

The fourth proportional to 874.52, 1,310.10 and 777.56 is: 1,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.52 : 1,310.10 = 777.56 : x
  2. Step 2: Convert to fraction form
    874.52/1,310.10 = 777.56/x
  3. Step 3: Cross multiply
    874.52x = 1,310.10 × 777.56
  4. Step 4: Simplify right side
    874.52x = 1,018,681.36
  5. Step 5: Solve for x
    x = 1,018,681.36/874.52
  6. Step 6: Final answer
    x = 1,164.85

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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.