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Finding the Fourth Proportional to 771, 1,156.50 and 429

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Solution

The fourth proportional to 771, 1,156.50 and 429 is: 643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    771 : 1,156.50 = 429 : x
  2. Step 2: Convert to fraction form
    771/1,156.50 = 429/x
  3. Step 3: Cross multiply
    771x = 1,156.50 × 429
  4. Step 4: Simplify right side
    771x = 496,138.50
  5. Step 5: Solve for x
    x = 496,138.50/771
  6. Step 6: Final answer
    x = 643.50

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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.