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Finding the Fourth Proportional to 520.74, 719.04 and 416.70

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Solution

The fourth proportional to 520.74, 719.04 and 416.70 is: 575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.74 : 719.04 = 416.70 : x
  2. Step 2: Convert to fraction form
    520.74/719.04 = 416.70/x
  3. Step 3: Cross multiply
    520.74x = 719.04 × 416.70
  4. Step 4: Simplify right side
    520.74x = 299,623.97
  5. Step 5: Solve for x
    x = 299,623.97/520.74
  6. Step 6: Final answer
    x = 575.38

Related Problems

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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.