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Finding the Fourth Proportional to 845.30, 1,165.62 and 658.46

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Solution

The fourth proportional to 845.30, 1,165.62 and 658.46 is: 907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.30 : 1,165.62 = 658.46 : x
  2. Step 2: Convert to fraction form
    845.30/1,165.62 = 658.46/x
  3. Step 3: Cross multiply
    845.30x = 1,165.62 × 658.46
  4. Step 4: Simplify right side
    845.30x = 767,514.15
  5. Step 5: Solve for x
    x = 767,514.15/845.30
  6. Step 6: Final answer
    x = 907.98

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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.