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Finding the Fourth Proportional to 780.76, 1,076.52 and 656.83

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Solution

The fourth proportional to 780.76, 1,076.52 and 656.83 is: 905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.76 : 1,076.52 = 656.83 : x
  2. Step 2: Convert to fraction form
    780.76/1,076.52 = 656.83/x
  3. Step 3: Cross multiply
    780.76x = 1,076.52 × 656.83
  4. Step 4: Simplify right side
    780.76x = 707,090.63
  5. Step 5: Solve for x
    x = 707,090.63/780.76
  6. Step 6: Final answer
    x = 905.64

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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.