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Finding the Fourth Proportional to 830.39, 1,145.78 and 476.42

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Solution

The fourth proportional to 830.39, 1,145.78 and 476.42 is: 657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.39 : 1,145.78 = 476.42 : x
  2. Step 2: Convert to fraction form
    830.39/1,145.78 = 476.42/x
  3. Step 3: Cross multiply
    830.39x = 1,145.78 × 476.42
  4. Step 4: Simplify right side
    830.39x = 545,872.99
  5. Step 5: Solve for x
    x = 545,872.99/830.39
  6. Step 6: Final answer
    x = 657.37

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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.