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Finding the Fourth Proportional to 786.02, 1,084.37 and 490.77

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Solution

The fourth proportional to 786.02, 1,084.37 and 490.77 is: 677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.02 : 1,084.37 = 490.77 : x
  2. Step 2: Convert to fraction form
    786.02/1,084.37 = 490.77/x
  3. Step 3: Cross multiply
    786.02x = 1,084.37 × 490.77
  4. Step 4: Simplify right side
    786.02x = 532,173.81
  5. Step 5: Solve for x
    x = 532,173.81/786.02
  6. Step 6: Final answer
    x = 677.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.