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Finding the Fourth Proportional to 771.40, 1,156.27 and 284.19

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Solution

The fourth proportional to 771.40, 1,156.27 and 284.19 is: 425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.40 : 1,156.27 = 284.19 : x
  2. Step 2: Convert to fraction form
    771.40/1,156.27 = 284.19/x
  3. Step 3: Cross multiply
    771.40x = 1,156.27 × 284.19
  4. Step 4: Simplify right side
    771.40x = 328,600.37
  5. Step 5: Solve for x
    x = 328,600.37/771.40
  6. Step 6: Final answer
    x = 425.98

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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.