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Finding the Fourth Proportional to 977.86, 1,465.76 and 361.17

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Solution

The fourth proportional to 977.86, 1,465.76 and 361.17 is: 541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.86 : 1,465.76 = 361.17 : x
  2. Step 2: Convert to fraction form
    977.86/1,465.76 = 361.17/x
  3. Step 3: Cross multiply
    977.86x = 1,465.76 × 361.17
  4. Step 4: Simplify right side
    977.86x = 529,388.54
  5. Step 5: Solve for x
    x = 529,388.54/977.86
  6. Step 6: Final answer
    x = 541.37

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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.