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Finding the Fourth Proportional to 460.11, 693.36 and 416.79

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Solution

The fourth proportional to 460.11, 693.36 and 416.79 is: 628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.11 : 693.36 = 416.79 : x
  2. Step 2: Convert to fraction form
    460.11/693.36 = 416.79/x
  3. Step 3: Cross multiply
    460.11x = 693.36 × 416.79
  4. Step 4: Simplify right side
    460.11x = 288,985.51
  5. Step 5: Solve for x
    x = 288,985.51/460.11
  6. Step 6: Final answer
    x = 628.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.