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Finding the Fourth Proportional to 830.82, 1,147.05 and 569.19

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Solution

The fourth proportional to 830.82, 1,147.05 and 569.19 is: 785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.82 : 1,147.05 = 569.19 : x
  2. Step 2: Convert to fraction form
    830.82/1,147.05 = 569.19/x
  3. Step 3: Cross multiply
    830.82x = 1,147.05 × 569.19
  4. Step 4: Simplify right side
    830.82x = 652,889.39
  5. Step 5: Solve for x
    x = 652,889.39/830.82
  6. Step 6: Final answer
    x = 785.84

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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.