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Finding the Fourth Proportional to 534.76, 801.70 and 260.56

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Solution

The fourth proportional to 534.76, 801.70 and 260.56 is: 390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.76 : 801.70 = 260.56 : x
  2. Step 2: Convert to fraction form
    534.76/801.70 = 260.56/x
  3. Step 3: Cross multiply
    534.76x = 801.70 × 260.56
  4. Step 4: Simplify right side
    534.76x = 208,890.95
  5. Step 5: Solve for x
    x = 208,890.95/534.76
  6. Step 6: Final answer
    x = 390.63

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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.