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Finding the Fourth Proportional to 534.93, 801.58 and 342.15

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Solution

The fourth proportional to 534.93, 801.58 and 342.15 is: 512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.93 : 801.58 = 342.15 : x
  2. Step 2: Convert to fraction form
    534.93/801.58 = 342.15/x
  3. Step 3: Cross multiply
    534.93x = 801.58 × 342.15
  4. Step 4: Simplify right side
    534.93x = 274,260.60
  5. Step 5: Solve for x
    x = 274,260.60/534.93
  6. Step 6: Final answer
    x = 512.70

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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.