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Finding the Fourth Proportional to 521.32, 718.68 and 416.76

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Solution

The fourth proportional to 521.32, 718.68 and 416.76 is: 574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.32 : 718.68 = 416.76 : x
  2. Step 2: Convert to fraction form
    521.32/718.68 = 416.76/x
  3. Step 3: Cross multiply
    521.32x = 718.68 × 416.76
  4. Step 4: Simplify right side
    521.32x = 299,517.08
  5. Step 5: Solve for x
    x = 299,517.08/521.32
  6. Step 6: Final answer
    x = 574.54

Related Problems

Find fourth proportional to 260.66, 359.34 and 208.38
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Double scale
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Similar ratio
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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.