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Finding the Fourth Proportional to 460.35, 688.91 and 433.70

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Solution

The fourth proportional to 460.35, 688.91 and 433.70 is: 649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.35 : 688.91 = 433.70 : x
  2. Step 2: Convert to fraction form
    460.35/688.91 = 433.70/x
  3. Step 3: Cross multiply
    460.35x = 688.91 × 433.70
  4. Step 4: Simplify right side
    460.35x = 298,776.82
  5. Step 5: Solve for x
    x = 298,776.82/460.35
  6. Step 6: Final answer
    x = 649.03

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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.