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Finding the Fourth Proportional to 680.77, 1,019.00 and 487.81

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Solution

The fourth proportional to 680.77, 1,019.00 and 487.81 is: 730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.77 : 1,019.00 = 487.81 : x
  2. Step 2: Convert to fraction form
    680.77/1,019.00 = 487.81/x
  3. Step 3: Cross multiply
    680.77x = 1,019.00 × 487.81
  4. Step 4: Simplify right side
    680.77x = 497,075.95
  5. Step 5: Solve for x
    x = 497,075.95/680.77
  6. Step 6: Final answer
    x = 730.17

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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.