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Finding the Fourth Proportional to 521.50, 719.54 and 311.74

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Solution

The fourth proportional to 521.50, 719.54 and 311.74 is: 430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.50 : 719.54 = 311.74 : x
  2. Step 2: Convert to fraction form
    521.50/719.54 = 311.74/x
  3. Step 3: Cross multiply
    521.50x = 719.54 × 311.74
  4. Step 4: Simplify right side
    521.50x = 224,308.38
  5. Step 5: Solve for x
    x = 224,308.38/521.50
  6. Step 6: Final answer
    x = 430.13

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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.