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Finding the Fourth Proportional to 776.68, 1,164.36 and 451.66

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Solution

The fourth proportional to 776.68, 1,164.36 and 451.66 is: 677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.68 : 1,164.36 = 451.66 : x
  2. Step 2: Convert to fraction form
    776.68/1,164.36 = 451.66/x
  3. Step 3: Cross multiply
    776.68x = 1,164.36 × 451.66
  4. Step 4: Simplify right side
    776.68x = 525,894.84
  5. Step 5: Solve for x
    x = 525,894.84/776.68
  6. Step 6: Final answer
    x = 677.11

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1.5x scale

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.