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Finding the Fourth Proportional to 944.67, 1,303.70 and 551.78

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Solution

The fourth proportional to 944.67, 1,303.70 and 551.78 is: 761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.67 : 1,303.70 = 551.78 : x
  2. Step 2: Convert to fraction form
    944.67/1,303.70 = 551.78/x
  3. Step 3: Cross multiply
    944.67x = 1,303.70 × 551.78
  4. Step 4: Simplify right side
    944.67x = 719,355.59
  5. Step 5: Solve for x
    x = 719,355.59/944.67
  6. Step 6: Final answer
    x = 761.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.