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Finding the Fourth Proportional to 756.55, 1,042.07 and 535.10

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Solution

The fourth proportional to 756.55, 1,042.07 and 535.10 is: 737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.55 : 1,042.07 = 535.10 : x
  2. Step 2: Convert to fraction form
    756.55/1,042.07 = 535.10/x
  3. Step 3: Cross multiply
    756.55x = 1,042.07 × 535.10
  4. Step 4: Simplify right side
    756.55x = 557,608.98
  5. Step 5: Solve for x
    x = 557,608.98/756.55
  6. Step 6: Final answer
    x = 737.05

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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.