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Finding the Fourth Proportional to 739.80, 1,020.40 and 477.77

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Solution

The fourth proportional to 739.80, 1,020.40 and 477.77 is: 658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.80 : 1,020.40 = 477.77 : x
  2. Step 2: Convert to fraction form
    739.80/1,020.40 = 477.77/x
  3. Step 3: Cross multiply
    739.80x = 1,020.40 × 477.77
  4. Step 4: Simplify right side
    739.80x = 487,510.21
  5. Step 5: Solve for x
    x = 487,510.21/739.80
  6. Step 6: Final answer
    x = 658.98

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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.