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Finding the Fourth Proportional to 830.02, 1,144.63 and 633.19

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Solution

The fourth proportional to 830.02, 1,144.63 and 633.19 is: 873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.02 : 1,144.63 = 633.19 : x
  2. Step 2: Convert to fraction form
    830.02/1,144.63 = 633.19/x
  3. Step 3: Cross multiply
    830.02x = 1,144.63 × 633.19
  4. Step 4: Simplify right side
    830.02x = 724,768.27
  5. Step 5: Solve for x
    x = 724,768.27/830.02
  6. Step 6: Final answer
    x = 873.19

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Half scale
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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.