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Finding the Fourth Proportional to 830.14, 1,243.80 and 585.48

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Solution

The fourth proportional to 830.14, 1,243.80 and 585.48 is: 877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.14 : 1,243.80 = 585.48 : x
  2. Step 2: Convert to fraction form
    830.14/1,243.80 = 585.48/x
  3. Step 3: Cross multiply
    830.14x = 1,243.80 × 585.48
  4. Step 4: Simplify right side
    830.14x = 728,220.02
  5. Step 5: Solve for x
    x = 728,220.02/830.14
  6. Step 6: Final answer
    x = 877.23

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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.