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Finding the Fourth Proportional to 680.13, 1,020.71 and 497.99

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Solution

The fourth proportional to 680.13, 1,020.71 and 497.99 is: 747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.13 : 1,020.71 = 497.99 : x
  2. Step 2: Convert to fraction form
    680.13/1,020.71 = 497.99/x
  3. Step 3: Cross multiply
    680.13x = 1,020.71 × 497.99
  4. Step 4: Simplify right side
    680.13x = 508,303.43
  5. Step 5: Solve for x
    x = 508,303.43/680.13
  6. Step 6: Final answer
    x = 747.36

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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.