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Finding the Fourth Proportional to 943.02, 1,416.15 and 457.02

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Solution

The fourth proportional to 943.02, 1,416.15 and 457.02 is: 686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.02 : 1,416.15 = 457.02 : x
  2. Step 2: Convert to fraction form
    943.02/1,416.15 = 457.02/x
  3. Step 3: Cross multiply
    943.02x = 1,416.15 × 457.02
  4. Step 4: Simplify right side
    943.02x = 647,208.87
  5. Step 5: Solve for x
    x = 647,208.87/943.02
  6. Step 6: Final answer
    x = 686.32

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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.