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Finding the Fourth Proportional to 534.66, 805.14 and 398.70

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Solution

The fourth proportional to 534.66, 805.14 and 398.70 is: 600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.66 : 805.14 = 398.70 : x
  2. Step 2: Convert to fraction form
    534.66/805.14 = 398.70/x
  3. Step 3: Cross multiply
    534.66x = 805.14 × 398.70
  4. Step 4: Simplify right side
    534.66x = 321,009.32
  5. Step 5: Solve for x
    x = 321,009.32/534.66
  6. Step 6: Final answer
    x = 600.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.