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Finding the Fourth Proportional to 944.32, 1,303.80 and 590.78

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Solution

The fourth proportional to 944.32, 1,303.80 and 590.78 is: 815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.32 : 1,303.80 = 590.78 : x
  2. Step 2: Convert to fraction form
    944.32/1,303.80 = 590.78/x
  3. Step 3: Cross multiply
    944.32x = 1,303.80 × 590.78
  4. Step 4: Simplify right side
    944.32x = 770,258.96
  5. Step 5: Solve for x
    x = 770,258.96/944.32
  6. Step 6: Final answer
    x = 815.68

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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.