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Finding the Fourth Proportional to 680.29, 1,018.84 and 497.23

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Solution

The fourth proportional to 680.29, 1,018.84 and 497.23 is: 744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.29 : 1,018.84 = 497.23 : x
  2. Step 2: Convert to fraction form
    680.29/1,018.84 = 497.23/x
  3. Step 3: Cross multiply
    680.29x = 1,018.84 × 497.23
  4. Step 4: Simplify right side
    680.29x = 506,597.81
  5. Step 5: Solve for x
    x = 506,597.81/680.29
  6. Step 6: Final answer
    x = 744.68

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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.