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Finding the Fourth Proportional to 572, 856.56 and 311.20

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Solution

The fourth proportional to 572, 856.56 and 311.20 is: 466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    572 : 856.56 = 311.20 : x
  2. Step 2: Convert to fraction form
    572/856.56 = 311.20/x
  3. Step 3: Cross multiply
    572x = 856.56 × 311.20
  4. Step 4: Simplify right side
    572x = 266,561.47
  5. Step 5: Solve for x
    x = 266,561.47/572
  6. Step 6: Final answer
    x = 466.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.