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Finding the Fourth Proportional to 1,023.25, 1,534.94 and 339.25

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Solution

The fourth proportional to 1,023.25, 1,534.94 and 339.25 is: 508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.25 : 1,534.94 = 339.25 : x
  2. Step 2: Convert to fraction form
    1,023.25/1,534.94 = 339.25/x
  3. Step 3: Cross multiply
    1,023.25x = 1,534.94 × 339.25
  4. Step 4: Simplify right side
    1,023.25x = 520,728.40
  5. Step 5: Solve for x
    x = 520,728.40/1,023.25
  6. Step 6: Final answer
    x = 508.90

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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.