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Finding the Fourth Proportional to 771.19, 1,156.48 and 283.91

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Solution

The fourth proportional to 771.19, 1,156.48 and 283.91 is: 425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.19 : 1,156.48 = 283.91 : x
  2. Step 2: Convert to fraction form
    771.19/1,156.48 = 283.91/x
  3. Step 3: Cross multiply
    771.19x = 1,156.48 × 283.91
  4. Step 4: Simplify right side
    771.19x = 328,329.74
  5. Step 5: Solve for x
    x = 328,329.74/771.19
  6. Step 6: Final answer
    x = 425.75

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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.