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Finding the Fourth Proportional to 944.50, 1,303.38 and 524.83

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Solution

The fourth proportional to 944.50, 1,303.38 and 524.83 is: 724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.50 : 1,303.38 = 524.83 : x
  2. Step 2: Convert to fraction form
    944.50/1,303.38 = 524.83/x
  3. Step 3: Cross multiply
    944.50x = 1,303.38 × 524.83
  4. Step 4: Simplify right side
    944.50x = 684,046.41
  5. Step 5: Solve for x
    x = 684,046.41/944.50
  6. Step 6: Final answer
    x = 724.25

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Double scale
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1.5x scale

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.