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Finding the Fourth Proportional to 947.15, 1,420.50 and 361.93

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Solution

The fourth proportional to 947.15, 1,420.50 and 361.93 is: 542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.15 : 1,420.50 = 361.93 : x
  2. Step 2: Convert to fraction form
    947.15/1,420.50 = 361.93/x
  3. Step 3: Cross multiply
    947.15x = 1,420.50 × 361.93
  4. Step 4: Simplify right side
    947.15x = 514,119.76
  5. Step 5: Solve for x
    x = 514,119.76/947.15
  6. Step 6: Final answer
    x = 542.81

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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.