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Finding the Fourth Proportional to 569.76, 856.71 and 498.12

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Solution

The fourth proportional to 569.76, 856.71 and 498.12 is: 748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.76 : 856.71 = 498.12 : x
  2. Step 2: Convert to fraction form
    569.76/856.71 = 498.12/x
  3. Step 3: Cross multiply
    569.76x = 856.71 × 498.12
  4. Step 4: Simplify right side
    569.76x = 426,744.39
  5. Step 5: Solve for x
    x = 426,744.39/569.76
  6. Step 6: Final answer
    x = 748.99

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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.