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Finding the Fourth Proportional to 677.19, 1,015.71 and 459.21

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Solution

The fourth proportional to 677.19, 1,015.71 and 459.21 is: 688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.19 : 1,015.71 = 459.21 : x
  2. Step 2: Convert to fraction form
    677.19/1,015.71 = 459.21/x
  3. Step 3: Cross multiply
    677.19x = 1,015.71 × 459.21
  4. Step 4: Simplify right side
    677.19x = 466,424.19
  5. Step 5: Solve for x
    x = 466,424.19/677.19
  6. Step 6: Final answer
    x = 688.77

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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.