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Finding the Fourth Proportional to 572.96, 859.12 and 316.64

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Solution

The fourth proportional to 572.96, 859.12 and 316.64 is: 474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.96 : 859.12 = 316.64 : x
  2. Step 2: Convert to fraction form
    572.96/859.12 = 316.64/x
  3. Step 3: Cross multiply
    572.96x = 859.12 × 316.64
  4. Step 4: Simplify right side
    572.96x = 272,031.76
  5. Step 5: Solve for x
    x = 272,031.76/572.96
  6. Step 6: Final answer
    x = 474.78

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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.