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Finding the Fourth Proportional to 771.40, 1,154.17 and 473.85

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Solution

The fourth proportional to 771.40, 1,154.17 and 473.85 is: 708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.40 : 1,154.17 = 473.85 : x
  2. Step 2: Convert to fraction form
    771.40/1,154.17 = 473.85/x
  3. Step 3: Cross multiply
    771.40x = 1,154.17 × 473.85
  4. Step 4: Simplify right side
    771.40x = 546,903.45
  5. Step 5: Solve for x
    x = 546,903.45/771.40
  6. Step 6: Final answer
    x = 708.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.