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Finding the Fourth Proportional to 561.09, 770.13 and 497.52

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Solution

The fourth proportional to 561.09, 770.13 and 497.52 is: 682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.09 : 770.13 = 497.52 : x
  2. Step 2: Convert to fraction form
    561.09/770.13 = 497.52/x
  3. Step 3: Cross multiply
    561.09x = 770.13 × 497.52
  4. Step 4: Simplify right side
    561.09x = 383,155.08
  5. Step 5: Solve for x
    x = 383,155.08/561.09
  6. Step 6: Final answer
    x = 682.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.