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Finding the Fourth Proportional to 756.86, 1,042.59 and 658.44

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Solution

The fourth proportional to 756.86, 1,042.59 and 658.44 is: 907.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.86 : 1,042.59 = 658.44 : x
  2. Step 2: Convert to fraction form
    756.86/1,042.59 = 658.44/x
  3. Step 3: Cross multiply
    756.86x = 1,042.59 × 658.44
  4. Step 4: Simplify right side
    756.86x = 686,482.96
  5. Step 5: Solve for x
    x = 686,482.96/756.86
  6. Step 6: Final answer
    x = 907.01

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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.