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Finding the Fourth Proportional to 771.47, 1,156.47 and 309

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Solution

The fourth proportional to 771.47, 1,156.47 and 309 is: 463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.47 : 1,156.47 = 309 : x
  2. Step 2: Convert to fraction form
    771.47/1,156.47 = 309/x
  3. Step 3: Cross multiply
    771.47x = 1,156.47 × 309
  4. Step 4: Simplify right side
    771.47x = 357,349.23
  5. Step 5: Solve for x
    x = 357,349.23/771.47
  6. Step 6: Final answer
    x = 463.21

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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.