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Finding the Fourth Proportional to 572.72, 856.06 and 474.80

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Solution

The fourth proportional to 572.72, 856.06 and 474.80 is: 709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.72 : 856.06 = 474.80 : x
  2. Step 2: Convert to fraction form
    572.72/856.06 = 474.80/x
  3. Step 3: Cross multiply
    572.72x = 856.06 × 474.80
  4. Step 4: Simplify right side
    572.72x = 406,457.29
  5. Step 5: Solve for x
    x = 406,457.29/572.72
  6. Step 6: Final answer
    x = 709.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.