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Finding the Fourth Proportional to 830.82, 1,245.38 and 522.89

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Solution

The fourth proportional to 830.82, 1,245.38 and 522.89 is: 783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.82 : 1,245.38 = 522.89 : x
  2. Step 2: Convert to fraction form
    830.82/1,245.38 = 522.89/x
  3. Step 3: Cross multiply
    830.82x = 1,245.38 × 522.89
  4. Step 4: Simplify right side
    830.82x = 651,196.75
  5. Step 5: Solve for x
    x = 651,196.75/830.82
  6. Step 6: Final answer
    x = 783.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.