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Finding the Fourth Proportional to 830.18, 1,245.27 and 542.18

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Solution

The fourth proportional to 830.18, 1,245.27 and 542.18 is: 813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.18 : 1,245.27 = 542.18 : x
  2. Step 2: Convert to fraction form
    830.18/1,245.27 = 542.18/x
  3. Step 3: Cross multiply
    830.18x = 1,245.27 × 542.18
  4. Step 4: Simplify right side
    830.18x = 675,160.49
  5. Step 5: Solve for x
    x = 675,160.49/830.18
  6. Step 6: Final answer
    x = 813.27

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Double scale
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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.