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Finding the Fourth Proportional to 466.59, 698.86 and 260.72

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Solution

The fourth proportional to 466.59, 698.86 and 260.72 is: 390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.59 : 698.86 = 260.72 : x
  2. Step 2: Convert to fraction form
    466.59/698.86 = 260.72/x
  3. Step 3: Cross multiply
    466.59x = 698.86 × 260.72
  4. Step 4: Simplify right side
    466.59x = 182,206.23
  5. Step 5: Solve for x
    x = 182,206.23/466.59
  6. Step 6: Final answer
    x = 390.50

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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.