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Finding the Fourth Proportional to 521.92, 718.80 and 416.32

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Solution

The fourth proportional to 521.92, 718.80 and 416.32 is: 573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.92 : 718.80 = 416.32 : x
  2. Step 2: Convert to fraction form
    521.92/718.80 = 416.32/x
  3. Step 3: Cross multiply
    521.92x = 718.80 × 416.32
  4. Step 4: Simplify right side
    521.92x = 299,250.82
  5. Step 5: Solve for x
    x = 299,250.82/521.92
  6. Step 6: Final answer
    x = 573.37

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1.5x scale

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.