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Finding the Fourth Proportional to 756.86, 1,045.75 and 658.44

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Solution

The fourth proportional to 756.86, 1,045.75 and 658.44 is: 909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.86 : 1,045.75 = 658.44 : x
  2. Step 2: Convert to fraction form
    756.86/1,045.75 = 658.44/x
  3. Step 3: Cross multiply
    756.86x = 1,045.75 × 658.44
  4. Step 4: Simplify right side
    756.86x = 688,567.89
  5. Step 5: Solve for x
    x = 688,567.89/756.86
  6. Step 6: Final answer
    x = 909.77

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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.