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Finding the Fourth Proportional to 460.68, 635.51 and 313.40

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Solution

The fourth proportional to 460.68, 635.51 and 313.40 is: 432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.68 : 635.51 = 313.40 : x
  2. Step 2: Convert to fraction form
    460.68/635.51 = 313.40/x
  3. Step 3: Cross multiply
    460.68x = 635.51 × 313.40
  4. Step 4: Simplify right side
    460.68x = 199,168.83
  5. Step 5: Solve for x
    x = 199,168.83/460.68
  6. Step 6: Final answer
    x = 432.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.