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Finding the Fourth Proportional to 830.19, 1,145.22 and 633.36

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Solution

The fourth proportional to 830.19, 1,145.22 and 633.36 is: 873.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.19 : 1,145.22 = 633.36 : x
  2. Step 2: Convert to fraction form
    830.19/1,145.22 = 633.36/x
  3. Step 3: Cross multiply
    830.19x = 1,145.22 × 633.36
  4. Step 4: Simplify right side
    830.19x = 725,330.81
  5. Step 5: Solve for x
    x = 725,330.81/830.19
  6. Step 6: Final answer
    x = 873.70

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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.