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Finding the Fourth Proportional to 943.76, 1,416.45 and 457.15

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Solution

The fourth proportional to 943.76, 1,416.45 and 457.15 is: 686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.76 : 1,416.45 = 457.15 : x
  2. Step 2: Convert to fraction form
    943.76/1,416.45 = 457.15/x
  3. Step 3: Cross multiply
    943.76x = 1,416.45 × 457.15
  4. Step 4: Simplify right side
    943.76x = 647,530.12
  5. Step 5: Solve for x
    x = 647,530.12/943.76
  6. Step 6: Final answer
    x = 686.12

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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.