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Finding the Fourth Proportional to 533.71, 800.61 and 390.34

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Solution

The fourth proportional to 533.71, 800.61 and 390.34 is: 585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.71 : 800.61 = 390.34 : x
  2. Step 2: Convert to fraction form
    533.71/800.61 = 390.34/x
  3. Step 3: Cross multiply
    533.71x = 800.61 × 390.34
  4. Step 4: Simplify right side
    533.71x = 312,510.11
  5. Step 5: Solve for x
    x = 312,510.11/533.71
  6. Step 6: Final answer
    x = 585.54

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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.