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Finding the Fourth Proportional to 460.77, 691.08 and 152.59

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Solution

The fourth proportional to 460.77, 691.08 and 152.59 is: 228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.77 : 691.08 = 152.59 : x
  2. Step 2: Convert to fraction form
    460.77/691.08 = 152.59/x
  3. Step 3: Cross multiply
    460.77x = 691.08 × 152.59
  4. Step 4: Simplify right side
    460.77x = 105,451.90
  5. Step 5: Solve for x
    x = 105,451.90/460.77
  6. Step 6: Final answer
    x = 228.86

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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.