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Finding the Fourth Proportional to 534.60, 800.28 and 390.42

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Solution

The fourth proportional to 534.60, 800.28 and 390.42 is: 584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.60 : 800.28 = 390.42 : x
  2. Step 2: Convert to fraction form
    534.60/800.28 = 390.42/x
  3. Step 3: Cross multiply
    534.60x = 800.28 × 390.42
  4. Step 4: Simplify right side
    534.60x = 312,445.32
  5. Step 5: Solve for x
    x = 312,445.32/534.60
  6. Step 6: Final answer
    x = 584.45

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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.