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Finding the Fourth Proportional to 771.92, 1,065.40 and 457.06

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Solution

The fourth proportional to 771.92, 1,065.40 and 457.06 is: 630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.92 : 1,065.40 = 457.06 : x
  2. Step 2: Convert to fraction form
    771.92/1,065.40 = 457.06/x
  3. Step 3: Cross multiply
    771.92x = 1,065.40 × 457.06
  4. Step 4: Simplify right side
    771.92x = 486,951.72
  5. Step 5: Solve for x
    x = 486,951.72/771.92
  6. Step 6: Final answer
    x = 630.83

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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.