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Finding the Fourth Proportional to 944.53, 1,416.66 and 457.45

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Solution

The fourth proportional to 944.53, 1,416.66 and 457.45 is: 686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.53 : 1,416.66 = 457.45 : x
  2. Step 2: Convert to fraction form
    944.53/1,416.66 = 457.45/x
  3. Step 3: Cross multiply
    944.53x = 1,416.66 × 457.45
  4. Step 4: Simplify right side
    944.53x = 648,051.12
  5. Step 5: Solve for x
    x = 648,051.12/944.53
  6. Step 6: Final answer
    x = 686.11

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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.